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Finding the Fourth Proportional to 663.34, 915.46 and 368.66

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Solution

The fourth proportional to 663.34, 915.46 and 368.66 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.34 : 915.46 = 368.66 : x
  2. Step 2: Convert to fraction form
    663.34/915.46 = 368.66/x
  3. Step 3: Cross multiply
    663.34x = 915.46 × 368.66
  4. Step 4: Simplify right side
    663.34x = 337,493.48
  5. Step 5: Solve for x
    x = 337,493.48/663.34
  6. Step 6: Final answer
    x = 508.78

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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.