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Finding the Fourth Proportional to 449.18, 622.76 and 424.58

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Solution

The fourth proportional to 449.18, 622.76 and 424.58 is: 588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.18 : 622.76 = 424.58 : x
  2. Step 2: Convert to fraction form
    449.18/622.76 = 424.58/x
  3. Step 3: Cross multiply
    449.18x = 622.76 × 424.58
  4. Step 4: Simplify right side
    449.18x = 264,406.20
  5. Step 5: Solve for x
    x = 264,406.20/449.18
  6. Step 6: Final answer
    x = 588.64

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.