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Finding the Fourth Proportional to 457.10, 685.76 and 262.19

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Solution

The fourth proportional to 457.10, 685.76 and 262.19 is: 393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.10 : 685.76 = 262.19 : x
  2. Step 2: Convert to fraction form
    457.10/685.76 = 262.19/x
  3. Step 3: Cross multiply
    457.10x = 685.76 × 262.19
  4. Step 4: Simplify right side
    457.10x = 179,799.41
  5. Step 5: Solve for x
    x = 179,799.41/457.10
  6. Step 6: Final answer
    x = 393.35

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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.