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Finding the Fourth Proportional to 719.06, 992.27 and 404.33

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Solution

The fourth proportional to 719.06, 992.27 and 404.33 is: 557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.06 : 992.27 = 404.33 : x
  2. Step 2: Convert to fraction form
    719.06/992.27 = 404.33/x
  3. Step 3: Cross multiply
    719.06x = 992.27 × 404.33
  4. Step 4: Simplify right side
    719.06x = 401,200.58
  5. Step 5: Solve for x
    x = 401,200.58/719.06
  6. Step 6: Final answer
    x = 557.96

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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.