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Finding the Fourth Proportional to 582.92, 875.16 and 374.12

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Solution

The fourth proportional to 582.92, 875.16 and 374.12 is: 561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.92 : 875.16 = 374.12 : x
  2. Step 2: Convert to fraction form
    582.92/875.16 = 374.12/x
  3. Step 3: Cross multiply
    582.92x = 875.16 × 374.12
  4. Step 4: Simplify right side
    582.92x = 327,414.86
  5. Step 5: Solve for x
    x = 327,414.86/582.92
  6. Step 6: Final answer
    x = 561.68

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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.