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Finding the Fourth Proportional to 596.60, 824.28 and 449.72

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Solution

The fourth proportional to 596.60, 824.28 and 449.72 is: 621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.60 : 824.28 = 449.72 : x
  2. Step 2: Convert to fraction form
    596.60/824.28 = 449.72/x
  3. Step 3: Cross multiply
    596.60x = 824.28 × 449.72
  4. Step 4: Simplify right side
    596.60x = 370,695.20
  5. Step 5: Solve for x
    x = 370,695.20/596.60
  6. Step 6: Final answer
    x = 621.35

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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.