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Finding the Fourth Proportional to 583.90, 875.92 and 151.06

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Solution

The fourth proportional to 583.90, 875.92 and 151.06 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.90 : 875.92 = 151.06 : x
  2. Step 2: Convert to fraction form
    583.90/875.92 = 151.06/x
  3. Step 3: Cross multiply
    583.90x = 875.92 × 151.06
  4. Step 4: Simplify right side
    583.90x = 132,316.48
  5. Step 5: Solve for x
    x = 132,316.48/583.90
  6. Step 6: Final answer
    x = 226.61

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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.