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Finding the Fourth Proportional to 475.90, 656.26 and 343.06

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Solution

The fourth proportional to 475.90, 656.26 and 343.06 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.90 : 656.26 = 343.06 : x
  2. Step 2: Convert to fraction form
    475.90/656.26 = 343.06/x
  3. Step 3: Cross multiply
    475.90x = 656.26 × 343.06
  4. Step 4: Simplify right side
    475.90x = 225,136.56
  5. Step 5: Solve for x
    x = 225,136.56/475.90
  6. Step 6: Final answer
    x = 473.08

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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.