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Finding the Fourth Proportional to 719.07, 991.83 and 424.11

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Solution

The fourth proportional to 719.07, 991.83 and 424.11 is: 584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.07 : 991.83 = 424.11 : x
  2. Step 2: Convert to fraction form
    719.07/991.83 = 424.11/x
  3. Step 3: Cross multiply
    719.07x = 991.83 × 424.11
  4. Step 4: Simplify right side
    719.07x = 420,645.02
  5. Step 5: Solve for x
    x = 420,645.02/719.07
  6. Step 6: Final answer
    x = 584.98

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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.