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Finding the Fourth Proportional to 663.26, 915.54 and 401.28

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Solution

The fourth proportional to 663.26, 915.54 and 401.28 is: 553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.26 : 915.54 = 401.28 : x
  2. Step 2: Convert to fraction form
    663.26/915.54 = 401.28/x
  3. Step 3: Cross multiply
    663.26x = 915.54 × 401.28
  4. Step 4: Simplify right side
    663.26x = 367,387.89
  5. Step 5: Solve for x
    x = 367,387.89/663.26
  6. Step 6: Final answer
    x = 553.91

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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.