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Finding the Fourth Proportional to 457.85, 632.31 and 318.32

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Solution

The fourth proportional to 457.85, 632.31 and 318.32 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.85 : 632.31 = 318.32 : x
  2. Step 2: Convert to fraction form
    457.85/632.31 = 318.32/x
  3. Step 3: Cross multiply
    457.85x = 632.31 × 318.32
  4. Step 4: Simplify right side
    457.85x = 201,276.92
  5. Step 5: Solve for x
    x = 201,276.92/457.85
  6. Step 6: Final answer
    x = 439.61

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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.