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Finding the Fourth Proportional to 522, 781.44 and 315.95

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Solution

The fourth proportional to 522, 781.44 and 315.95 is: 472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 781.44 = 315.95 : x
  2. Step 2: Convert to fraction form
    522/781.44 = 315.95/x
  3. Step 3: Cross multiply
    522x = 781.44 × 315.95
  4. Step 4: Simplify right side
    522x = 246,895.97
  5. Step 5: Solve for x
    x = 246,895.97/522
  6. Step 6: Final answer
    x = 472.98

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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.