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Finding the Fourth Proportional to 700.24, 966.25 and 405.45

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Solution

The fourth proportional to 700.24, 966.25 and 405.45 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.24 : 966.25 = 405.45 : x
  2. Step 2: Convert to fraction form
    700.24/966.25 = 405.45/x
  3. Step 3: Cross multiply
    700.24x = 966.25 × 405.45
  4. Step 4: Simplify right side
    700.24x = 391,766.06
  5. Step 5: Solve for x
    x = 391,766.06/700.24
  6. Step 6: Final answer
    x = 559.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.