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Finding the Fourth Proportional to 496.24, 740.74 and 491.68

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Solution

The fourth proportional to 496.24, 740.74 and 491.68 is: 733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 740.74 = 491.68 : x
  2. Step 2: Convert to fraction form
    496.24/740.74 = 491.68/x
  3. Step 3: Cross multiply
    496.24x = 740.74 × 491.68
  4. Step 4: Simplify right side
    496.24x = 364,207.04
  5. Step 5: Solve for x
    x = 364,207.04/496.24
  6. Step 6: Final answer
    x = 733.93

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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.