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Finding the Fourth Proportional to 644.95, 966.81 and 279.99

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Solution

The fourth proportional to 644.95, 966.81 and 279.99 is: 419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.95 : 966.81 = 279.99 : x
  2. Step 2: Convert to fraction form
    644.95/966.81 = 279.99/x
  3. Step 3: Cross multiply
    644.95x = 966.81 × 279.99
  4. Step 4: Simplify right side
    644.95x = 270,697.13
  5. Step 5: Solve for x
    x = 270,697.13/644.95
  6. Step 6: Final answer
    x = 419.72

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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.