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Finding the Fourth Proportional to 663.34, 915.41 and 368.64

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Solution

The fourth proportional to 663.34, 915.41 and 368.64 is: 508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.34 : 915.41 = 368.64 : x
  2. Step 2: Convert to fraction form
    663.34/915.41 = 368.64/x
  3. Step 3: Cross multiply
    663.34x = 915.41 × 368.64
  4. Step 4: Simplify right side
    663.34x = 337,456.74
  5. Step 5: Solve for x
    x = 337,456.74/663.34
  6. Step 6: Final answer
    x = 508.72

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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.