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Finding the Fourth Proportional to 604.62, 907.12 and 279.80

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Solution

The fourth proportional to 604.62, 907.12 and 279.80 is: 419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.62 : 907.12 = 279.80 : x
  2. Step 2: Convert to fraction form
    604.62/907.12 = 279.80/x
  3. Step 3: Cross multiply
    604.62x = 907.12 × 279.80
  4. Step 4: Simplify right side
    604.62x = 253,812.18
  5. Step 5: Solve for x
    x = 253,812.18/604.62
  6. Step 6: Final answer
    x = 419.79

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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.