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Finding the Fourth Proportional to 471.42, 652.23 and 449.82

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Solution

The fourth proportional to 471.42, 652.23 and 449.82 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.42 : 652.23 = 449.82 : x
  2. Step 2: Convert to fraction form
    471.42/652.23 = 449.82/x
  3. Step 3: Cross multiply
    471.42x = 652.23 × 449.82
  4. Step 4: Simplify right side
    471.42x = 293,386.10
  5. Step 5: Solve for x
    x = 293,386.10/471.42
  6. Step 6: Final answer
    x = 622.35

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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.