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Finding the Fourth Proportional to 582.17, 872.55 and 444.78

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Solution

The fourth proportional to 582.17, 872.55 and 444.78 is: 666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.17 : 872.55 = 444.78 : x
  2. Step 2: Convert to fraction form
    582.17/872.55 = 444.78/x
  3. Step 3: Cross multiply
    582.17x = 872.55 × 444.78
  4. Step 4: Simplify right side
    582.17x = 388,092.79
  5. Step 5: Solve for x
    x = 388,092.79/582.17
  6. Step 6: Final answer
    x = 666.64

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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.