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Finding the Fourth Proportional to 704.39, 972.11 and 405.74

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Solution

The fourth proportional to 704.39, 972.11 and 405.74 is: 559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.39 : 972.11 = 405.74 : x
  2. Step 2: Convert to fraction form
    704.39/972.11 = 405.74/x
  3. Step 3: Cross multiply
    704.39x = 972.11 × 405.74
  4. Step 4: Simplify right side
    704.39x = 394,427.36
  5. Step 5: Solve for x
    x = 394,427.36/704.39
  6. Step 6: Final answer
    x = 559.95

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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.