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Finding the Fourth Proportional to 475.24, 656.14 and 326.12

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Solution

The fourth proportional to 475.24, 656.14 and 326.12 is: 450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.24 : 656.14 = 326.12 : x
  2. Step 2: Convert to fraction form
    475.24/656.14 = 326.12/x
  3. Step 3: Cross multiply
    475.24x = 656.14 × 326.12
  4. Step 4: Simplify right side
    475.24x = 213,980.38
  5. Step 5: Solve for x
    x = 213,980.38/475.24
  6. Step 6: Final answer
    x = 450.26

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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.