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Finding the Fourth Proportional to 311.67, 466.70 and 291.42

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Solution

The fourth proportional to 311.67, 466.70 and 291.42 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.67 : 466.70 = 291.42 : x
  2. Step 2: Convert to fraction form
    311.67/466.70 = 291.42/x
  3. Step 3: Cross multiply
    311.67x = 466.70 × 291.42
  4. Step 4: Simplify right side
    311.67x = 136,004.26
  5. Step 5: Solve for x
    x = 136,004.26/311.67
  6. Step 6: Final answer
    x = 436.37

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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.