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Finding the Fourth Proportional to 719.13, 992.38 and 404.41

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Solution

The fourth proportional to 719.13, 992.38 and 404.41 is: 558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.13 : 992.38 = 404.41 : x
  2. Step 2: Convert to fraction form
    719.13/992.38 = 404.41/x
  3. Step 3: Cross multiply
    719.13x = 992.38 × 404.41
  4. Step 4: Simplify right side
    719.13x = 401,328.40
  5. Step 5: Solve for x
    x = 401,328.40/719.13
  6. Step 6: Final answer
    x = 558.07

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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.