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Finding the Fourth Proportional to 582.17, 872.01 and 362.86

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Solution

The fourth proportional to 582.17, 872.01 and 362.86 is: 543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.17 : 872.01 = 362.86 : x
  2. Step 2: Convert to fraction form
    582.17/872.01 = 362.86/x
  3. Step 3: Cross multiply
    582.17x = 872.01 × 362.86
  4. Step 4: Simplify right side
    582.17x = 316,414.35
  5. Step 5: Solve for x
    x = 316,414.35/582.17
  6. Step 6: Final answer
    x = 543.51

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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.