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Finding the Fourth Proportional to 509.35, 764.05 and 144.13

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Solution

The fourth proportional to 509.35, 764.05 and 144.13 is: 216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.35 : 764.05 = 144.13 : x
  2. Step 2: Convert to fraction form
    509.35/764.05 = 144.13/x
  3. Step 3: Cross multiply
    509.35x = 764.05 × 144.13
  4. Step 4: Simplify right side
    509.35x = 110,121.35
  5. Step 5: Solve for x
    x = 110,121.35/509.35
  6. Step 6: Final answer
    x = 216.20

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Double scale
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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.