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Finding the Fourth Proportional to 508.54, 702.28 and 351.57

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Solution

The fourth proportional to 508.54, 702.28 and 351.57 is: 485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.54 : 702.28 = 351.57 : x
  2. Step 2: Convert to fraction form
    508.54/702.28 = 351.57/x
  3. Step 3: Cross multiply
    508.54x = 702.28 × 351.57
  4. Step 4: Simplify right side
    508.54x = 246,898.82
  5. Step 5: Solve for x
    x = 246,898.82/508.54
  6. Step 6: Final answer
    x = 485.51

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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.