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Finding the Fourth Proportional to 457.28, 631.16 and 270.84

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Solution

The fourth proportional to 457.28, 631.16 and 270.84 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.28 : 631.16 = 270.84 : x
  2. Step 2: Convert to fraction form
    457.28/631.16 = 270.84/x
  3. Step 3: Cross multiply
    457.28x = 631.16 × 270.84
  4. Step 4: Simplify right side
    457.28x = 170,943.37
  5. Step 5: Solve for x
    x = 170,943.37/457.28
  6. Step 6: Final answer
    x = 373.83

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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.