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Finding the Fourth Proportional to 444.90, 614.02 and 279.30

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Solution

The fourth proportional to 444.90, 614.02 and 279.30 is: 385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.90 : 614.02 = 279.30 : x
  2. Step 2: Convert to fraction form
    444.90/614.02 = 279.30/x
  3. Step 3: Cross multiply
    444.90x = 614.02 × 279.30
  4. Step 4: Simplify right side
    444.90x = 171,495.79
  5. Step 5: Solve for x
    x = 171,495.79/444.90
  6. Step 6: Final answer
    x = 385.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.