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Finding the Fourth Proportional to 457.57, 631.39 and 271.01

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Solution

The fourth proportional to 457.57, 631.39 and 271.01 is: 373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.57 : 631.39 = 271.01 : x
  2. Step 2: Convert to fraction form
    457.57/631.39 = 271.01/x
  3. Step 3: Cross multiply
    457.57x = 631.39 × 271.01
  4. Step 4: Simplify right side
    457.57x = 171,113.65
  5. Step 5: Solve for x
    x = 171,113.65/457.57
  6. Step 6: Final answer
    x = 373.97

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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.