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Finding the Fourth Proportional to 595.24, 891.13 and 449.59

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Solution

The fourth proportional to 595.24, 891.13 and 449.59 is: 673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.24 : 891.13 = 449.59 : x
  2. Step 2: Convert to fraction form
    595.24/891.13 = 449.59/x
  3. Step 3: Cross multiply
    595.24x = 891.13 × 449.59
  4. Step 4: Simplify right side
    595.24x = 400,639.78
  5. Step 5: Solve for x
    x = 400,639.78/595.24
  6. Step 6: Final answer
    x = 673.08

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Why These Related Problems?

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