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Finding the Fourth Proportional to 719.21, 992.51 and 408.71

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Solution

The fourth proportional to 719.21, 992.51 and 408.71 is: 564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.21 : 992.51 = 408.71 : x
  2. Step 2: Convert to fraction form
    719.21/992.51 = 408.71/x
  3. Step 3: Cross multiply
    719.21x = 992.51 × 408.71
  4. Step 4: Simplify right side
    719.21x = 405,641.76
  5. Step 5: Solve for x
    x = 405,641.76/719.21
  6. Step 6: Final answer
    x = 564.01

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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.