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Finding the Fourth Proportional to 595.44, 820.68 and 447.81

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Solution

The fourth proportional to 595.44, 820.68 and 447.81 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 820.68 = 447.81 : x
  2. Step 2: Convert to fraction form
    595.44/820.68 = 447.81/x
  3. Step 3: Cross multiply
    595.44x = 820.68 × 447.81
  4. Step 4: Simplify right side
    595.44x = 367,508.71
  5. Step 5: Solve for x
    x = 367,508.71/595.44
  6. Step 6: Final answer
    x = 617.21

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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.