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Finding the Fourth Proportional to 700.47, 966.63 and 405.78

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Solution

The fourth proportional to 700.47, 966.63 and 405.78 is: 559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.47 : 966.63 = 405.78 : x
  2. Step 2: Convert to fraction form
    700.47/966.63 = 405.78/x
  3. Step 3: Cross multiply
    700.47x = 966.63 × 405.78
  4. Step 4: Simplify right side
    700.47x = 392,239.12
  5. Step 5: Solve for x
    x = 392,239.12/700.47
  6. Step 6: Final answer
    x = 559.97

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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.