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Finding the Fourth Proportional to 700.61, 966.51 and 405.80

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Solution

The fourth proportional to 700.61, 966.51 and 405.80 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.61 : 966.51 = 405.80 : x
  2. Step 2: Convert to fraction form
    700.61/966.51 = 405.80/x
  3. Step 3: Cross multiply
    700.61x = 966.51 × 405.80
  4. Step 4: Simplify right side
    700.61x = 392,204.93
  5. Step 5: Solve for x
    x = 392,204.93/700.61
  6. Step 6: Final answer
    x = 559.81

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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.