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Finding the Fourth Proportional to 715.97, 988.05 and 421.23

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Solution

The fourth proportional to 715.97, 988.05 and 421.23 is: 581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.97 : 988.05 = 421.23 : x
  2. Step 2: Convert to fraction form
    715.97/988.05 = 421.23/x
  3. Step 3: Cross multiply
    715.97x = 988.05 × 421.23
  4. Step 4: Simplify right side
    715.97x = 416,196.30
  5. Step 5: Solve for x
    x = 416,196.30/715.97
  6. Step 6: Final answer
    x = 581.31

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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.