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Finding the Fourth Proportional to 457.33, 686.52 and 427.60

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Solution

The fourth proportional to 457.33, 686.52 and 427.60 is: 641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.33 : 686.52 = 427.60 : x
  2. Step 2: Convert to fraction form
    457.33/686.52 = 427.60/x
  3. Step 3: Cross multiply
    457.33x = 686.52 × 427.60
  4. Step 4: Simplify right side
    457.33x = 293,555.95
  5. Step 5: Solve for x
    x = 293,555.95/457.33
  6. Step 6: Final answer
    x = 641.89

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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.