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Finding the Fourth Proportional to 700.29, 966.33 and 405.66

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Solution

The fourth proportional to 700.29, 966.33 and 405.66 is: 559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.29 : 966.33 = 405.66 : x
  2. Step 2: Convert to fraction form
    700.29/966.33 = 405.66/x
  3. Step 3: Cross multiply
    700.29x = 966.33 × 405.66
  4. Step 4: Simplify right side
    700.29x = 392,001.43
  5. Step 5: Solve for x
    x = 392,001.43/700.29
  6. Step 6: Final answer
    x = 559.77

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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.