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Finding the Fourth Proportional to 475.44, 711.78 and 302.31

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Solution

The fourth proportional to 475.44, 711.78 and 302.31 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.44 : 711.78 = 302.31 : x
  2. Step 2: Convert to fraction form
    475.44/711.78 = 302.31/x
  3. Step 3: Cross multiply
    475.44x = 711.78 × 302.31
  4. Step 4: Simplify right side
    475.44x = 215,178.21
  5. Step 5: Solve for x
    x = 215,178.21/475.44
  6. Step 6: Final answer
    x = 452.59

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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.