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Finding the Fourth Proportional to 508.81, 702.17 and 287.77

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Solution

The fourth proportional to 508.81, 702.17 and 287.77 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.81 : 702.17 = 287.77 : x
  2. Step 2: Convert to fraction form
    508.81/702.17 = 287.77/x
  3. Step 3: Cross multiply
    508.81x = 702.17 × 287.77
  4. Step 4: Simplify right side
    508.81x = 202,063.98
  5. Step 5: Solve for x
    x = 202,063.98/508.81
  6. Step 6: Final answer
    x = 397.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.