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Finding the Fourth Proportional to 457.47, 631.31 and 260.99

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Solution

The fourth proportional to 457.47, 631.31 and 260.99 is: 360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.47 : 631.31 = 260.99 : x
  2. Step 2: Convert to fraction form
    457.47/631.31 = 260.99/x
  3. Step 3: Cross multiply
    457.47x = 631.31 × 260.99
  4. Step 4: Simplify right side
    457.47x = 164,765.60
  5. Step 5: Solve for x
    x = 164,765.60/457.47
  6. Step 6: Final answer
    x = 360.17

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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.