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Finding the Fourth Proportional to 457.76, 683.42 and 392.78

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Solution

The fourth proportional to 457.76, 683.42 and 392.78 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.76 : 683.42 = 392.78 : x
  2. Step 2: Convert to fraction form
    457.76/683.42 = 392.78/x
  3. Step 3: Cross multiply
    457.76x = 683.42 × 392.78
  4. Step 4: Simplify right side
    457.76x = 268,433.71
  5. Step 5: Solve for x
    x = 268,433.71/457.76
  6. Step 6: Final answer
    x = 586.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.