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Finding the Fourth Proportional to 526.46, 789.23 and 449.91

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Solution

The fourth proportional to 526.46, 789.23 and 449.91 is: 674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.46 : 789.23 = 449.91 : x
  2. Step 2: Convert to fraction form
    526.46/789.23 = 449.91/x
  3. Step 3: Cross multiply
    526.46x = 789.23 × 449.91
  4. Step 4: Simplify right side
    526.46x = 355,080.22
  5. Step 5: Solve for x
    x = 355,080.22/526.46
  6. Step 6: Final answer
    x = 674.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.