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Finding the Fourth Proportional to 475.70, 712.56 and 243.89

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Solution

The fourth proportional to 475.70, 712.56 and 243.89 is: 365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.70 : 712.56 = 243.89 : x
  2. Step 2: Convert to fraction form
    475.70/712.56 = 243.89/x
  3. Step 3: Cross multiply
    475.70x = 712.56 × 243.89
  4. Step 4: Simplify right side
    475.70x = 173,782.09
  5. Step 5: Solve for x
    x = 173,782.09/475.70
  6. Step 6: Final answer
    x = 365.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.