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Finding the Fourth Proportional to 718, 990.69 and 423.16

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Solution

The fourth proportional to 718, 990.69 and 423.16 is: 583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    718 : 990.69 = 423.16 : x
  2. Step 2: Convert to fraction form
    718/990.69 = 423.16/x
  3. Step 3: Cross multiply
    718x = 990.69 × 423.16
  4. Step 4: Simplify right side
    718x = 419,220.38
  5. Step 5: Solve for x
    x = 419,220.38/718
  6. Step 6: Final answer
    x = 583.87

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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.