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Finding the Fourth Proportional to 457.12, 630.82 and 260.66

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Solution

The fourth proportional to 457.12, 630.82 and 260.66 is: 359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.12 : 630.82 = 260.66 : x
  2. Step 2: Convert to fraction form
    457.12/630.82 = 260.66/x
  3. Step 3: Cross multiply
    457.12x = 630.82 × 260.66
  4. Step 4: Simplify right side
    457.12x = 164,429.54
  5. Step 5: Solve for x
    x = 164,429.54/457.12
  6. Step 6: Final answer
    x = 359.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.