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Finding the Fourth Proportional to 555.04, 833.14 and 408.96

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Solution

The fourth proportional to 555.04, 833.14 and 408.96 is: 613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.04 : 833.14 = 408.96 : x
  2. Step 2: Convert to fraction form
    555.04/833.14 = 408.96/x
  3. Step 3: Cross multiply
    555.04x = 833.14 × 408.96
  4. Step 4: Simplify right side
    555.04x = 340,715.75
  5. Step 5: Solve for x
    x = 340,715.75/555.04
  6. Step 6: Final answer
    x = 613.86

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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.