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Finding the Fourth Proportional to 704.32, 971.57 and 409.55

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Solution

The fourth proportional to 704.32, 971.57 and 409.55 is: 564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.32 : 971.57 = 409.55 : x
  2. Step 2: Convert to fraction form
    704.32/971.57 = 409.55/x
  3. Step 3: Cross multiply
    704.32x = 971.57 × 409.55
  4. Step 4: Simplify right side
    704.32x = 397,904.45
  5. Step 5: Solve for x
    x = 397,904.45/704.32
  6. Step 6: Final answer
    x = 564.95

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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.