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Finding the Fourth Proportional to 457.57, 685.44 and 283.83

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Solution

The fourth proportional to 457.57, 685.44 and 283.83 is: 425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.57 : 685.44 = 283.83 : x
  2. Step 2: Convert to fraction form
    457.57/685.44 = 283.83/x
  3. Step 3: Cross multiply
    457.57x = 685.44 × 283.83
  4. Step 4: Simplify right side
    457.57x = 194,548.44
  5. Step 5: Solve for x
    x = 194,548.44/457.57
  6. Step 6: Final answer
    x = 425.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.