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Finding the Fourth Proportional to 457.43, 631.28 and 260.99

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Solution

The fourth proportional to 457.43, 631.28 and 260.99 is: 360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.43 : 631.28 = 260.99 : x
  2. Step 2: Convert to fraction form
    457.43/631.28 = 260.99/x
  3. Step 3: Cross multiply
    457.43x = 631.28 × 260.99
  4. Step 4: Simplify right side
    457.43x = 164,755.26
  5. Step 5: Solve for x
    x = 164,755.26/457.43
  6. Step 6: Final answer
    x = 360.17

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