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Finding the Fourth Proportional to 663.67, 915.89 and 368.97

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Solution

The fourth proportional to 663.67, 915.89 and 368.97 is: 509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.67 : 915.89 = 368.97 : x
  2. Step 2: Convert to fraction form
    663.67/915.89 = 368.97/x
  3. Step 3: Cross multiply
    663.67x = 915.89 × 368.97
  4. Step 4: Simplify right side
    663.67x = 337,935.93
  5. Step 5: Solve for x
    x = 337,935.93/663.67
  6. Step 6: Final answer
    x = 509.19

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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.