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Finding the Fourth Proportional to 333.06, 498.04 and 296.71

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Solution

The fourth proportional to 333.06, 498.04 and 296.71 is: 443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 498.04 = 296.71 : x
  2. Step 2: Convert to fraction form
    333.06/498.04 = 296.71/x
  3. Step 3: Cross multiply
    333.06x = 498.04 × 296.71
  4. Step 4: Simplify right side
    333.06x = 147,769.47
  5. Step 5: Solve for x
    x = 147,769.47/333.06
  6. Step 6: Final answer
    x = 443.68

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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.