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Finding the Fourth Proportional to 700.39, 966.28 and 401.56

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Solution

The fourth proportional to 700.39, 966.28 and 401.56 is: 554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.39 : 966.28 = 401.56 : x
  2. Step 2: Convert to fraction form
    700.39/966.28 = 401.56/x
  3. Step 3: Cross multiply
    700.39x = 966.28 × 401.56
  4. Step 4: Simplify right side
    700.39x = 388,012.56
  5. Step 5: Solve for x
    x = 388,012.56/700.39
  6. Step 6: Final answer
    x = 554.00

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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.