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Finding the Fourth Proportional to 718.41, 991.26 and 419.52

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Solution

The fourth proportional to 718.41, 991.26 and 419.52 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.41 : 991.26 = 419.52 : x
  2. Step 2: Convert to fraction form
    718.41/991.26 = 419.52/x
  3. Step 3: Cross multiply
    718.41x = 991.26 × 419.52
  4. Step 4: Simplify right side
    718.41x = 415,853.40
  5. Step 5: Solve for x
    x = 415,853.40/718.41
  6. Step 6: Final answer
    x = 578.85

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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.