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Finding the Fourth Proportional to 296.69, 443.86 and 262.06

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Solution

The fourth proportional to 296.69, 443.86 and 262.06 is: 392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.69 : 443.86 = 262.06 : x
  2. Step 2: Convert to fraction form
    296.69/443.86 = 262.06/x
  3. Step 3: Cross multiply
    296.69x = 443.86 × 262.06
  4. Step 4: Simplify right side
    296.69x = 116,317.50
  5. Step 5: Solve for x
    x = 116,317.50/296.69
  6. Step 6: Final answer
    x = 392.06

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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.