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Finding the Fourth Proportional to 491.02, 736.26 and 247.24

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Solution

The fourth proportional to 491.02, 736.26 and 247.24 is: 370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.02 : 736.26 = 247.24 : x
  2. Step 2: Convert to fraction form
    491.02/736.26 = 247.24/x
  3. Step 3: Cross multiply
    491.02x = 736.26 × 247.24
  4. Step 4: Simplify right side
    491.02x = 182,032.92
  5. Step 5: Solve for x
    x = 182,032.92/491.02
  6. Step 6: Final answer
    x = 370.72

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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.