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Finding the Fourth Proportional to 457.32, 631.13 and 260.85

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Solution

The fourth proportional to 457.32, 631.13 and 260.85 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.32 : 631.13 = 260.85 : x
  2. Step 2: Convert to fraction form
    457.32/631.13 = 260.85/x
  3. Step 3: Cross multiply
    457.32x = 631.13 × 260.85
  4. Step 4: Simplify right side
    457.32x = 164,627.76
  5. Step 5: Solve for x
    x = 164,627.76/457.32
  6. Step 6: Final answer
    x = 359.99

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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.