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Finding the Fourth Proportional to 601.38, 903.13 and 532.13

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Solution

The fourth proportional to 601.38, 903.13 and 532.13 is: 799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 903.13 = 532.13 : x
  2. Step 2: Convert to fraction form
    601.38/903.13 = 532.13/x
  3. Step 3: Cross multiply
    601.38x = 903.13 × 532.13
  4. Step 4: Simplify right side
    601.38x = 480,576.72
  5. Step 5: Solve for x
    x = 480,576.72/601.38
  6. Step 6: Final answer
    x = 799.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.