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Finding the Fourth Proportional to 457.86, 632.12 and 292.22

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Solution

The fourth proportional to 457.86, 632.12 and 292.22 is: 403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.86 : 632.12 = 292.22 : x
  2. Step 2: Convert to fraction form
    457.86/632.12 = 292.22/x
  3. Step 3: Cross multiply
    457.86x = 632.12 × 292.22
  4. Step 4: Simplify right side
    457.86x = 184,713.48
  5. Step 5: Solve for x
    x = 184,713.48/457.86
  6. Step 6: Final answer
    x = 403.43

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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.