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Finding the Fourth Proportional to 467.74, 645.06 and 402.22

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Solution

The fourth proportional to 467.74, 645.06 and 402.22 is: 554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.74 : 645.06 = 402.22 : x
  2. Step 2: Convert to fraction form
    467.74/645.06 = 402.22/x
  3. Step 3: Cross multiply
    467.74x = 645.06 × 402.22
  4. Step 4: Simplify right side
    467.74x = 259,456.03
  5. Step 5: Solve for x
    x = 259,456.03/467.74
  6. Step 6: Final answer
    x = 554.70

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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.