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Finding the Fourth Proportional to 963.95, 1,445.66 and 270.66

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Solution

The fourth proportional to 963.95, 1,445.66 and 270.66 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.95 : 1,445.66 = 270.66 : x
  2. Step 2: Convert to fraction form
    963.95/1,445.66 = 270.66/x
  3. Step 3: Cross multiply
    963.95x = 1,445.66 × 270.66
  4. Step 4: Simplify right side
    963.95x = 391,274.57
  5. Step 5: Solve for x
    x = 391,274.57/963.95
  6. Step 6: Final answer
    x = 405.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.