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Finding the Fourth Proportional to 491.04, 734.67 and 296.24

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Solution

The fourth proportional to 491.04, 734.67 and 296.24 is: 443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.04 : 734.67 = 296.24 : x
  2. Step 2: Convert to fraction form
    491.04/734.67 = 296.24/x
  3. Step 3: Cross multiply
    491.04x = 734.67 × 296.24
  4. Step 4: Simplify right side
    491.04x = 217,634.97
  5. Step 5: Solve for x
    x = 217,634.97/491.04
  6. Step 6: Final answer
    x = 443.21

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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.