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Finding the Fourth Proportional to 508.96, 702.56 and 354.24

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Solution

The fourth proportional to 508.96, 702.56 and 354.24 is: 488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.96 : 702.56 = 354.24 : x
  2. Step 2: Convert to fraction form
    508.96/702.56 = 354.24/x
  3. Step 3: Cross multiply
    508.96x = 702.56 × 354.24
  4. Step 4: Simplify right side
    508.96x = 248,874.85
  5. Step 5: Solve for x
    x = 248,874.85/508.96
  6. Step 6: Final answer
    x = 488.99

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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.