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Finding the Fourth Proportional to 496.65, 746.13 and 291.36

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Solution

The fourth proportional to 496.65, 746.13 and 291.36 is: 437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.65 : 746.13 = 291.36 : x
  2. Step 2: Convert to fraction form
    496.65/746.13 = 291.36/x
  3. Step 3: Cross multiply
    496.65x = 746.13 × 291.36
  4. Step 4: Simplify right side
    496.65x = 217,392.44
  5. Step 5: Solve for x
    x = 217,392.44/496.65
  6. Step 6: Final answer
    x = 437.72

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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.