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Finding the Fourth Proportional to 663.62, 915.71 and 368.84

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Solution

The fourth proportional to 663.62, 915.71 and 368.84 is: 508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.62 : 915.71 = 368.84 : x
  2. Step 2: Convert to fraction form
    663.62/915.71 = 368.84/x
  3. Step 3: Cross multiply
    663.62x = 915.71 × 368.84
  4. Step 4: Simplify right side
    663.62x = 337,744.05
  5. Step 5: Solve for x
    x = 337,744.05/663.62
  6. Step 6: Final answer
    x = 508.95

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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.