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Finding the Fourth Proportional to 424.61, 585.92 and 258.87

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Solution

The fourth proportional to 424.61, 585.92 and 258.87 is: 357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.61 : 585.92 = 258.87 : x
  2. Step 2: Convert to fraction form
    424.61/585.92 = 258.87/x
  3. Step 3: Cross multiply
    424.61x = 585.92 × 258.87
  4. Step 4: Simplify right side
    424.61x = 151,675.82
  5. Step 5: Solve for x
    x = 151,675.82/424.61
  6. Step 6: Final answer
    x = 357.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.