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Finding the Fourth Proportional to 424.76, 586.17 and 247.84

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Solution

The fourth proportional to 424.76, 586.17 and 247.84 is: 342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.76 : 586.17 = 247.84 : x
  2. Step 2: Convert to fraction form
    424.76/586.17 = 247.84/x
  3. Step 3: Cross multiply
    424.76x = 586.17 × 247.84
  4. Step 4: Simplify right side
    424.76x = 145,277.22
  5. Step 5: Solve for x
    x = 145,277.22/424.76
  6. Step 6: Final answer
    x = 342.02

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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.