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Finding the Fourth Proportional to 496.48, 742 and 457.56

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Solution

The fourth proportional to 496.48, 742 and 457.56 is: 683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.48 : 742 = 457.56 : x
  2. Step 2: Convert to fraction form
    496.48/742 = 457.56/x
  3. Step 3: Cross multiply
    496.48x = 742 × 457.56
  4. Step 4: Simplify right side
    496.48x = 339,509.52
  5. Step 5: Solve for x
    x = 339,509.52/496.48
  6. Step 6: Final answer
    x = 683.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.