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Finding the Fourth Proportional to 424.86, 586.47 and 267.72

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Solution

The fourth proportional to 424.86, 586.47 and 267.72 is: 369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.86 : 586.47 = 267.72 : x
  2. Step 2: Convert to fraction form
    424.86/586.47 = 267.72/x
  3. Step 3: Cross multiply
    424.86x = 586.47 × 267.72
  4. Step 4: Simplify right side
    424.86x = 157,009.75
  5. Step 5: Solve for x
    x = 157,009.75/424.86
  6. Step 6: Final answer
    x = 369.56

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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.