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Finding the Fourth Proportional to 491.53, 736.68 and 248.12

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Solution

The fourth proportional to 491.53, 736.68 and 248.12 is: 371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.53 : 736.68 = 248.12 : x
  2. Step 2: Convert to fraction form
    491.53/736.68 = 248.12/x
  3. Step 3: Cross multiply
    491.53x = 736.68 × 248.12
  4. Step 4: Simplify right side
    491.53x = 182,787.81
  5. Step 5: Solve for x
    x = 182,787.81/491.53
  6. Step 6: Final answer
    x = 371.88

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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.