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Finding the Fourth Proportional to 508.08, 758.13 and 477.12

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Solution

The fourth proportional to 508.08, 758.13 and 477.12 is: 711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.08 : 758.13 = 477.12 : x
  2. Step 2: Convert to fraction form
    508.08/758.13 = 477.12/x
  3. Step 3: Cross multiply
    508.08x = 758.13 × 477.12
  4. Step 4: Simplify right side
    508.08x = 361,718.99
  5. Step 5: Solve for x
    x = 361,718.99/508.08
  6. Step 6: Final answer
    x = 711.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.