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Finding the Fourth Proportional to 716.20, 988.33 and 421.48

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Solution

The fourth proportional to 716.20, 988.33 and 421.48 is: 581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.20 : 988.33 = 421.48 : x
  2. Step 2: Convert to fraction form
    716.20/988.33 = 421.48/x
  3. Step 3: Cross multiply
    716.20x = 988.33 × 421.48
  4. Step 4: Simplify right side
    716.20x = 416,561.51
  5. Step 5: Solve for x
    x = 416,561.51/716.20
  6. Step 6: Final answer
    x = 581.63

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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.