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Finding the Fourth Proportional to 718.84, 992.01 and 404.09

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Solution

The fourth proportional to 718.84, 992.01 and 404.09 is: 557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.84 : 992.01 = 404.09 : x
  2. Step 2: Convert to fraction form
    718.84/992.01 = 404.09/x
  3. Step 3: Cross multiply
    718.84x = 992.01 × 404.09
  4. Step 4: Simplify right side
    718.84x = 400,864.21
  5. Step 5: Solve for x
    x = 400,864.21/718.84
  6. Step 6: Final answer
    x = 557.66

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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.