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Finding the Fourth Proportional to 424.42, 585.69 and 258.73

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Solution

The fourth proportional to 424.42, 585.69 and 258.73 is: 357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.42 : 585.69 = 258.73 : x
  2. Step 2: Convert to fraction form
    424.42/585.69 = 258.73/x
  3. Step 3: Cross multiply
    424.42x = 585.69 × 258.73
  4. Step 4: Simplify right side
    424.42x = 151,535.57
  5. Step 5: Solve for x
    x = 151,535.57/424.42
  6. Step 6: Final answer
    x = 357.04

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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.