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Finding the Fourth Proportional to 704.05, 971.63 and 409.39

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Solution

The fourth proportional to 704.05, 971.63 and 409.39 is: 564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.05 : 971.63 = 409.39 : x
  2. Step 2: Convert to fraction form
    704.05/971.63 = 409.39/x
  3. Step 3: Cross multiply
    704.05x = 971.63 × 409.39
  4. Step 4: Simplify right side
    704.05x = 397,775.61
  5. Step 5: Solve for x
    x = 397,775.61/704.05
  6. Step 6: Final answer
    x = 564.98

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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.