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Finding the Fourth Proportional to 514.96, 708.95 and 449.48

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Solution

The fourth proportional to 514.96, 708.95 and 449.48 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 708.95 = 449.48 : x
  2. Step 2: Convert to fraction form
    514.96/708.95 = 449.48/x
  3. Step 3: Cross multiply
    514.96x = 708.95 × 449.48
  4. Step 4: Simplify right side
    514.96x = 318,661.74
  5. Step 5: Solve for x
    x = 318,661.74/514.96
  6. Step 6: Final answer
    x = 618.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.