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Finding the Fourth Proportional to 565.92, 844.80 and 493

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Solution

The fourth proportional to 565.92, 844.80 and 493 is: 735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 844.80 = 493 : x
  2. Step 2: Convert to fraction form
    565.92/844.80 = 493/x
  3. Step 3: Cross multiply
    565.92x = 844.80 × 493
  4. Step 4: Simplify right side
    565.92x = 416,486.40
  5. Step 5: Solve for x
    x = 416,486.40/565.92
  6. Step 6: Final answer
    x = 735.95

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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.