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Finding the Fourth Proportional to 459.95, 632.89 and 449.02

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Solution

The fourth proportional to 459.95, 632.89 and 449.02 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.95 : 632.89 = 449.02 : x
  2. Step 2: Convert to fraction form
    459.95/632.89 = 449.02/x
  3. Step 3: Cross multiply
    459.95x = 632.89 × 449.02
  4. Step 4: Simplify right side
    459.95x = 284,180.27
  5. Step 5: Solve for x
    x = 284,180.27/459.95
  6. Step 6: Final answer
    x = 617.85

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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.