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Finding the Fourth Proportional to 509.43, 764.19 and 144.24

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Solution

The fourth proportional to 509.43, 764.19 and 144.24 is: 216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.43 : 764.19 = 144.24 : x
  2. Step 2: Convert to fraction form
    509.43/764.19 = 144.24/x
  3. Step 3: Cross multiply
    509.43x = 764.19 × 144.24
  4. Step 4: Simplify right side
    509.43x = 110,226.77
  5. Step 5: Solve for x
    x = 110,226.77/509.43
  6. Step 6: Final answer
    x = 216.37

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Half scale
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Double scale
Find fourth proportional to 510.43, 765.69 and 145.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.