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Finding the Fourth Proportional to 718.72, 991.84 and 419.83

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Solution

The fourth proportional to 718.72, 991.84 and 419.83 is: 579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.72 : 991.84 = 419.83 : x
  2. Step 2: Convert to fraction form
    718.72/991.84 = 419.83/x
  3. Step 3: Cross multiply
    718.72x = 991.84 × 419.83
  4. Step 4: Simplify right side
    718.72x = 416,404.19
  5. Step 5: Solve for x
    x = 416,404.19/718.72
  6. Step 6: Final answer
    x = 579.37

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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.