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Finding the Fourth Proportional to 491.12, 735.95 and 247.31

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Solution

The fourth proportional to 491.12, 735.95 and 247.31 is: 370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.12 : 735.95 = 247.31 : x
  2. Step 2: Convert to fraction form
    491.12/735.95 = 247.31/x
  3. Step 3: Cross multiply
    491.12x = 735.95 × 247.31
  4. Step 4: Simplify right side
    491.12x = 182,002.88
  5. Step 5: Solve for x
    x = 182,002.88/491.12
  6. Step 6: Final answer
    x = 370.59

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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.