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Finding the Fourth Proportional to 642.45, 963.99 and 277.32

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Solution

The fourth proportional to 642.45, 963.99 and 277.32 is: 416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.45 : 963.99 = 277.32 : x
  2. Step 2: Convert to fraction form
    642.45/963.99 = 277.32/x
  3. Step 3: Cross multiply
    642.45x = 963.99 × 277.32
  4. Step 4: Simplify right side
    642.45x = 267,333.71
  5. Step 5: Solve for x
    x = 267,333.71/642.45
  6. Step 6: Final answer
    x = 416.12

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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.