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Finding the Fourth Proportional to 515.03, 708.95 and 449.42

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Solution

The fourth proportional to 515.03, 708.95 and 449.42 is: 618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.03 : 708.95 = 449.42 : x
  2. Step 2: Convert to fraction form
    515.03/708.95 = 449.42/x
  3. Step 3: Cross multiply
    515.03x = 708.95 × 449.42
  4. Step 4: Simplify right side
    515.03x = 318,613.89
  5. Step 5: Solve for x
    x = 318,613.89/515.03
  6. Step 6: Final answer
    x = 618.64

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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.