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Finding the Fourth Proportional to 932.91, 1,399.67 and 446

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Solution

The fourth proportional to 932.91, 1,399.67 and 446 is: 669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.91 : 1,399.67 = 446 : x
  2. Step 2: Convert to fraction form
    932.91/1,399.67 = 446/x
  3. Step 3: Cross multiply
    932.91x = 1,399.67 × 446
  4. Step 4: Simplify right side
    932.91x = 624,253.94
  5. Step 5: Solve for x
    x = 624,253.94/932.91
  6. Step 6: Final answer
    x = 669.15

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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.