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Finding the Fourth Proportional to 532.02, 794.31 and 440.94

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Solution

The fourth proportional to 532.02, 794.31 and 440.94 is: 658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.02 : 794.31 = 440.94 : x
  2. Step 2: Convert to fraction form
    532.02/794.31 = 440.94/x
  3. Step 3: Cross multiply
    532.02x = 794.31 × 440.94
  4. Step 4: Simplify right side
    532.02x = 350,243.05
  5. Step 5: Solve for x
    x = 350,243.05/532.02
  6. Step 6: Final answer
    x = 658.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.