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Finding the Fourth Proportional to 495.80, 744.02 and 279.48

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Solution

The fourth proportional to 495.80, 744.02 and 279.48 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.80 : 744.02 = 279.48 : x
  2. Step 2: Convert to fraction form
    495.80/744.02 = 279.48/x
  3. Step 3: Cross multiply
    495.80x = 744.02 × 279.48
  4. Step 4: Simplify right side
    495.80x = 207,938.71
  5. Step 5: Solve for x
    x = 207,938.71/495.80
  6. Step 6: Final answer
    x = 419.40

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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.