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Finding the Fourth Proportional to 424.46, 585.90 and 258.68

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Solution

The fourth proportional to 424.46, 585.90 and 258.68 is: 357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.46 : 585.90 = 258.68 : x
  2. Step 2: Convert to fraction form
    424.46/585.90 = 258.68/x
  3. Step 3: Cross multiply
    424.46x = 585.90 × 258.68
  4. Step 4: Simplify right side
    424.46x = 151,562.08
  5. Step 5: Solve for x
    x = 151,562.08/424.46
  6. Step 6: Final answer
    x = 357.07

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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.