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Finding the Fourth Proportional to 555.78, 834.17 and 296.00

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Solution

The fourth proportional to 555.78, 834.17 and 296.00 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.78 : 834.17 = 296.00 : x
  2. Step 2: Convert to fraction form
    555.78/834.17 = 296.00/x
  3. Step 3: Cross multiply
    555.78x = 834.17 × 296.00
  4. Step 4: Simplify right side
    555.78x = 246,909.78
  5. Step 5: Solve for x
    x = 246,909.78/555.78
  6. Step 6: Final answer
    x = 444.26

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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.