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Finding the Fourth Proportional to 582.43, 873.43 and 362.71

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Solution

The fourth proportional to 582.43, 873.43 and 362.71 is: 543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.43 : 873.43 = 362.71 : x
  2. Step 2: Convert to fraction form
    582.43/873.43 = 362.71/x
  3. Step 3: Cross multiply
    582.43x = 873.43 × 362.71
  4. Step 4: Simplify right side
    582.43x = 316,801.80
  5. Step 5: Solve for x
    x = 316,801.80/582.43
  6. Step 6: Final answer
    x = 543.93

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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.