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Finding the Fourth Proportional to 663.25, 915.24 and 368.53

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Solution

The fourth proportional to 663.25, 915.24 and 368.53 is: 508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.25 : 915.24 = 368.53 : x
  2. Step 2: Convert to fraction form
    663.25/915.24 = 368.53/x
  3. Step 3: Cross multiply
    663.25x = 915.24 × 368.53
  4. Step 4: Simplify right side
    663.25x = 337,293.40
  5. Step 5: Solve for x
    x = 337,293.40/663.25
  6. Step 6: Final answer
    x = 508.55

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Why These Related Problems?

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