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Finding the Fourth Proportional to 719.74, 993.48 and 471.22

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Solution

The fourth proportional to 719.74, 993.48 and 471.22 is: 650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.74 : 993.48 = 471.22 : x
  2. Step 2: Convert to fraction form
    719.74/993.48 = 471.22/x
  3. Step 3: Cross multiply
    719.74x = 993.48 × 471.22
  4. Step 4: Simplify right side
    719.74x = 468,147.65
  5. Step 5: Solve for x
    x = 468,147.65/719.74
  6. Step 6: Final answer
    x = 650.44

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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.