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Finding the Fourth Proportional to 424.68, 586.18 and 258.96

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Solution

The fourth proportional to 424.68, 586.18 and 258.96 is: 357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.68 : 586.18 = 258.96 : x
  2. Step 2: Convert to fraction form
    424.68/586.18 = 258.96/x
  3. Step 3: Cross multiply
    424.68x = 586.18 × 258.96
  4. Step 4: Simplify right side
    424.68x = 151,797.17
  5. Step 5: Solve for x
    x = 151,797.17/424.68
  6. Step 6: Final answer
    x = 357.44

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