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Finding the Fourth Proportional to 457.23, 630.96 and 260.73

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Solution

The fourth proportional to 457.23, 630.96 and 260.73 is: 359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.23 : 630.96 = 260.73 : x
  2. Step 2: Convert to fraction form
    457.23/630.96 = 260.73/x
  3. Step 3: Cross multiply
    457.23x = 630.96 × 260.73
  4. Step 4: Simplify right side
    457.23x = 164,510.20
  5. Step 5: Solve for x
    x = 164,510.20/457.23
  6. Step 6: Final answer
    x = 359.80

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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.