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Finding the Fourth Proportional to 611.74, 843.98 and 402.04

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Solution

The fourth proportional to 611.74, 843.98 and 402.04 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 843.98 = 402.04 : x
  2. Step 2: Convert to fraction form
    611.74/843.98 = 402.04/x
  3. Step 3: Cross multiply
    611.74x = 843.98 × 402.04
  4. Step 4: Simplify right side
    611.74x = 339,307.49
  5. Step 5: Solve for x
    x = 339,307.49/611.74
  6. Step 6: Final answer
    x = 554.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.