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Finding the Fourth Proportional to 583.68, 875.50 and 144.92

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Solution

The fourth proportional to 583.68, 875.50 and 144.92 is: 217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.68 : 875.50 = 144.92 : x
  2. Step 2: Convert to fraction form
    583.68/875.50 = 144.92/x
  3. Step 3: Cross multiply
    583.68x = 875.50 × 144.92
  4. Step 4: Simplify right side
    583.68x = 126,878.16
  5. Step 5: Solve for x
    x = 126,878.16/583.68
  6. Step 6: Final answer
    x = 217.38

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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.