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Finding the Fourth Proportional to 718.84, 991.96 and 404.11

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Solution

The fourth proportional to 718.84, 991.96 and 404.11 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.84 : 991.96 = 404.11 : x
  2. Step 2: Convert to fraction form
    718.84/991.96 = 404.11/x
  3. Step 3: Cross multiply
    718.84x = 991.96 × 404.11
  4. Step 4: Simplify right side
    718.84x = 400,857.88
  5. Step 5: Solve for x
    x = 400,857.88/718.84
  6. Step 6: Final answer
    x = 557.64

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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.