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Finding the Fourth Proportional to 642.32, 963.63 and 209.46

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Solution

The fourth proportional to 642.32, 963.63 and 209.46 is: 314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.32 : 963.63 = 209.46 : x
  2. Step 2: Convert to fraction form
    642.32/963.63 = 209.46/x
  3. Step 3: Cross multiply
    642.32x = 963.63 × 209.46
  4. Step 4: Simplify right side
    642.32x = 201,841.94
  5. Step 5: Solve for x
    x = 201,841.94/642.32
  6. Step 6: Final answer
    x = 314.24

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1.5x scale

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.