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Finding the Fourth Proportional to 700.10, 966.09 and 405.36

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Solution

The fourth proportional to 700.10, 966.09 and 405.36 is: 559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.10 : 966.09 = 405.36 : x
  2. Step 2: Convert to fraction form
    700.10/966.09 = 405.36/x
  3. Step 3: Cross multiply
    700.10x = 966.09 × 405.36
  4. Step 4: Simplify right side
    700.10x = 391,614.24
  5. Step 5: Solve for x
    x = 391,614.24/700.10
  6. Step 6: Final answer
    x = 559.37

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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.