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Finding the Fourth Proportional to 519.23, 714.42 and 449.07

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Solution

The fourth proportional to 519.23, 714.42 and 449.07 is: 617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.23 : 714.42 = 449.07 : x
  2. Step 2: Convert to fraction form
    519.23/714.42 = 449.07/x
  3. Step 3: Cross multiply
    519.23x = 714.42 × 449.07
  4. Step 4: Simplify right side
    519.23x = 320,818.77
  5. Step 5: Solve for x
    x = 320,818.77/519.23
  6. Step 6: Final answer
    x = 617.87

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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.