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Finding the Fourth Proportional to 704.80, 972.86 and 410.31

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Solution

The fourth proportional to 704.80, 972.86 and 410.31 is: 566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.80 : 972.86 = 410.31 : x
  2. Step 2: Convert to fraction form
    704.80/972.86 = 410.31/x
  3. Step 3: Cross multiply
    704.80x = 972.86 × 410.31
  4. Step 4: Simplify right side
    704.80x = 399,176.62
  5. Step 5: Solve for x
    x = 399,176.62/704.80
  6. Step 6: Final answer
    x = 566.37

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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.