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Finding the Fourth Proportional to 491.76, 736.66 and 296.81

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Solution

The fourth proportional to 491.76, 736.66 and 296.81 is: 444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.76 : 736.66 = 296.81 : x
  2. Step 2: Convert to fraction form
    491.76/736.66 = 296.81/x
  3. Step 3: Cross multiply
    491.76x = 736.66 × 296.81
  4. Step 4: Simplify right side
    491.76x = 218,648.05
  5. Step 5: Solve for x
    x = 218,648.05/491.76
  6. Step 6: Final answer
    x = 444.62

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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.