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Finding the Fourth Proportional to 963.59, 1,445.27 and 270.31

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Solution

The fourth proportional to 963.59, 1,445.27 and 270.31 is: 405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.59 : 1,445.27 = 270.31 : x
  2. Step 2: Convert to fraction form
    963.59/1,445.27 = 270.31/x
  3. Step 3: Cross multiply
    963.59x = 1,445.27 × 270.31
  4. Step 4: Simplify right side
    963.59x = 390,670.93
  5. Step 5: Solve for x
    x = 390,670.93/963.59
  6. Step 6: Final answer
    x = 405.43

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Why These Related Problems?

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