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Finding the Fourth Proportional to 704.78, 972.66 and 410.09

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Solution

The fourth proportional to 704.78, 972.66 and 410.09 is: 565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.78 : 972.66 = 410.09 : x
  2. Step 2: Convert to fraction form
    704.78/972.66 = 410.09/x
  3. Step 3: Cross multiply
    704.78x = 972.66 × 410.09
  4. Step 4: Simplify right side
    704.78x = 398,878.14
  5. Step 5: Solve for x
    x = 398,878.14/704.78
  6. Step 6: Final answer
    x = 565.96

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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.