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Finding the Fourth Proportional to 582.33, 872.13 and 565.93

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Solution

The fourth proportional to 582.33, 872.13 and 565.93 is: 847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.33 : 872.13 = 565.93 : x
  2. Step 2: Convert to fraction form
    582.33/872.13 = 565.93/x
  3. Step 3: Cross multiply
    582.33x = 872.13 × 565.93
  4. Step 4: Simplify right side
    582.33x = 493,562.35
  5. Step 5: Solve for x
    x = 493,562.35/582.33
  6. Step 6: Final answer
    x = 847.56

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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.