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Finding the Fourth Proportional to 424.74, 586.41 and 267.45

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Solution

The fourth proportional to 424.74, 586.41 and 267.45 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.74 : 586.41 = 267.45 : x
  2. Step 2: Convert to fraction form
    424.74/586.41 = 267.45/x
  3. Step 3: Cross multiply
    424.74x = 586.41 × 267.45
  4. Step 4: Simplify right side
    424.74x = 156,837.71
  5. Step 5: Solve for x
    x = 156,837.71/424.74
  6. Step 6: Final answer
    x = 369.25

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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.