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Finding the Fourth Proportional to 915.41, 1,263.28 and 542.38

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Solution

The fourth proportional to 915.41, 1,263.28 and 542.38 is: 748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.41 : 1,263.28 = 542.38 : x
  2. Step 2: Convert to fraction form
    915.41/1,263.28 = 542.38/x
  3. Step 3: Cross multiply
    915.41x = 1,263.28 × 542.38
  4. Step 4: Simplify right side
    915.41x = 685,177.81
  5. Step 5: Solve for x
    x = 685,177.81/915.41
  6. Step 6: Final answer
    x = 748.50

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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.