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Finding the Fourth Proportional to 509.46, 764.07 and 144.17

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Solution

The fourth proportional to 509.46, 764.07 and 144.17 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.46 : 764.07 = 144.17 : x
  2. Step 2: Convert to fraction form
    509.46/764.07 = 144.17/x
  3. Step 3: Cross multiply
    509.46x = 764.07 × 144.17
  4. Step 4: Simplify right side
    509.46x = 110,152.15
  5. Step 5: Solve for x
    x = 110,152.15/509.46
  6. Step 6: Final answer
    x = 216.21

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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.