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Finding the Fourth Proportional to 718.50, 991.53 and 438.78

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Solution

The fourth proportional to 718.50, 991.53 and 438.78 is: 605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.50 : 991.53 = 438.78 : x
  2. Step 2: Convert to fraction form
    718.50/991.53 = 438.78/x
  3. Step 3: Cross multiply
    718.50x = 991.53 × 438.78
  4. Step 4: Simplify right side
    718.50x = 435,063.53
  5. Step 5: Solve for x
    x = 435,063.53/718.50
  6. Step 6: Final answer
    x = 605.52

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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.