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Finding the Fourth Proportional to 475.07, 654.73 and 343.85

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Solution

The fourth proportional to 475.07, 654.73 and 343.85 is: 473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.07 : 654.73 = 343.85 : x
  2. Step 2: Convert to fraction form
    475.07/654.73 = 343.85/x
  3. Step 3: Cross multiply
    475.07x = 654.73 × 343.85
  4. Step 4: Simplify right side
    475.07x = 225,126.71
  5. Step 5: Solve for x
    x = 225,126.71/475.07
  6. Step 6: Final answer
    x = 473.89

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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.