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Finding the Fourth Proportional to 700.27, 966.59 and 405.61

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Solution

The fourth proportional to 700.27, 966.59 and 405.61 is: 559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.27 : 966.59 = 405.61 : x
  2. Step 2: Convert to fraction form
    700.27/966.59 = 405.61/x
  3. Step 3: Cross multiply
    700.27x = 966.59 × 405.61
  4. Step 4: Simplify right side
    700.27x = 392,056.54
  5. Step 5: Solve for x
    x = 392,056.54/700.27
  6. Step 6: Final answer
    x = 559.86

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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.