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Finding the Fourth Proportional to 582.17, 872.14 and 362.10

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Solution

The fourth proportional to 582.17, 872.14 and 362.10 is: 542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.17 : 872.14 = 362.10 : x
  2. Step 2: Convert to fraction form
    582.17/872.14 = 362.10/x
  3. Step 3: Cross multiply
    582.17x = 872.14 × 362.10
  4. Step 4: Simplify right side
    582.17x = 315,801.89
  5. Step 5: Solve for x
    x = 315,801.89/582.17
  6. Step 6: Final answer
    x = 542.46

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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.