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Finding the Fourth Proportional to 475.22, 656.16 and 467.66

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Solution

The fourth proportional to 475.22, 656.16 and 467.66 is: 645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.22 : 656.16 = 467.66 : x
  2. Step 2: Convert to fraction form
    475.22/656.16 = 467.66/x
  3. Step 3: Cross multiply
    475.22x = 656.16 × 467.66
  4. Step 4: Simplify right side
    475.22x = 306,859.79
  5. Step 5: Solve for x
    x = 306,859.79/475.22
  6. Step 6: Final answer
    x = 645.72

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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.