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Finding the Fourth Proportional to 458.86, 632.89 and 318.98

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Solution

The fourth proportional to 458.86, 632.89 and 318.98 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.86 : 632.89 = 318.98 : x
  2. Step 2: Convert to fraction form
    458.86/632.89 = 318.98/x
  3. Step 3: Cross multiply
    458.86x = 632.89 × 318.98
  4. Step 4: Simplify right side
    458.86x = 201,879.25
  5. Step 5: Solve for x
    x = 201,879.25/458.86
  6. Step 6: Final answer
    x = 439.96

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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.