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Finding the Fourth Proportional to 700.01, 966.07 and 405.28

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Solution

The fourth proportional to 700.01, 966.07 and 405.28 is: 559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.01 : 966.07 = 405.28 : x
  2. Step 2: Convert to fraction form
    700.01/966.07 = 405.28/x
  3. Step 3: Cross multiply
    700.01x = 966.07 × 405.28
  4. Step 4: Simplify right side
    700.01x = 391,528.85
  5. Step 5: Solve for x
    x = 391,528.85/700.01
  6. Step 6: Final answer
    x = 559.32

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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.