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Finding the Fourth Proportional to 507.54, 762.72 and 495.19

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Solution

The fourth proportional to 507.54, 762.72 and 495.19 is: 744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.54 : 762.72 = 495.19 : x
  2. Step 2: Convert to fraction form
    507.54/762.72 = 495.19/x
  3. Step 3: Cross multiply
    507.54x = 762.72 × 495.19
  4. Step 4: Simplify right side
    507.54x = 377,691.32
  5. Step 5: Solve for x
    x = 377,691.32/507.54
  6. Step 6: Final answer
    x = 744.16

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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.