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Finding the Fourth Proportional to 718.78, 991.82 and 404.02

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Solution

The fourth proportional to 718.78, 991.82 and 404.02 is: 557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.78 : 991.82 = 404.02 : x
  2. Step 2: Convert to fraction form
    718.78/991.82 = 404.02/x
  3. Step 3: Cross multiply
    718.78x = 991.82 × 404.02
  4. Step 4: Simplify right side
    718.78x = 400,715.12
  5. Step 5: Solve for x
    x = 400,715.12/718.78
  6. Step 6: Final answer
    x = 557.49

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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.