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Finding the Fourth Proportional to 592.95, 819.14 and 463.65

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Solution

The fourth proportional to 592.95, 819.14 and 463.65 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.95 : 819.14 = 463.65 : x
  2. Step 2: Convert to fraction form
    592.95/819.14 = 463.65/x
  3. Step 3: Cross multiply
    592.95x = 819.14 × 463.65
  4. Step 4: Simplify right side
    592.95x = 379,791.94
  5. Step 5: Solve for x
    x = 379,791.94/592.95
  6. Step 6: Final answer
    x = 640.51

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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.