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Finding the Fourth Proportional to 424.94, 586.40 and 267.61

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Solution

The fourth proportional to 424.94, 586.40 and 267.61 is: 369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.94 : 586.40 = 267.61 : x
  2. Step 2: Convert to fraction form
    424.94/586.40 = 267.61/x
  3. Step 3: Cross multiply
    424.94x = 586.40 × 267.61
  4. Step 4: Simplify right side
    424.94x = 156,922.23
  5. Step 5: Solve for x
    x = 156,922.23/424.94
  6. Step 6: Final answer
    x = 369.28

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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.