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Finding the Fourth Proportional to 641.00, 963.32 and 459.56

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Solution

The fourth proportional to 641.00, 963.32 and 459.56 is: 690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.00 : 963.32 = 459.56 : x
  2. Step 2: Convert to fraction form
    641.00/963.32 = 459.56/x
  3. Step 3: Cross multiply
    641.00x = 963.32 × 459.56
  4. Step 4: Simplify right side
    641.00x = 442,696.22
  5. Step 5: Solve for x
    x = 442,696.22/641.00
  6. Step 6: Final answer
    x = 690.64

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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.