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Finding the Fourth Proportional to 701.13, 967.56 and 406.39

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Solution

The fourth proportional to 701.13, 967.56 and 406.39 is: 560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.13 : 967.56 = 406.39 : x
  2. Step 2: Convert to fraction form
    701.13/967.56 = 406.39/x
  3. Step 3: Cross multiply
    701.13x = 967.56 × 406.39
  4. Step 4: Simplify right side
    701.13x = 393,206.71
  5. Step 5: Solve for x
    x = 393,206.71/701.13
  6. Step 6: Final answer
    x = 560.82

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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.