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Finding the Fourth Proportional to 641.94, 963.45 and 277.01

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Solution

The fourth proportional to 641.94, 963.45 and 277.01 is: 415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.94 : 963.45 = 277.01 : x
  2. Step 2: Convert to fraction form
    641.94/963.45 = 277.01/x
  3. Step 3: Cross multiply
    641.94x = 963.45 × 277.01
  4. Step 4: Simplify right side
    641.94x = 266,880.47
  5. Step 5: Solve for x
    x = 266,880.47/641.94
  6. Step 6: Final answer
    x = 415.74

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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.