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Finding the Fourth Proportional to 700.14, 965.97 and 405.30

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Solution

The fourth proportional to 700.14, 965.97 and 405.30 is: 559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.14 : 965.97 = 405.30 : x
  2. Step 2: Convert to fraction form
    700.14/965.97 = 405.30/x
  3. Step 3: Cross multiply
    700.14x = 965.97 × 405.30
  4. Step 4: Simplify right side
    700.14x = 391,507.64
  5. Step 5: Solve for x
    x = 391,507.64/700.14
  6. Step 6: Final answer
    x = 559.18

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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.