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Finding the Fourth Proportional to 604.78, 907.23 and 296.57

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Solution

The fourth proportional to 604.78, 907.23 and 296.57 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.78 : 907.23 = 296.57 : x
  2. Step 2: Convert to fraction form
    604.78/907.23 = 296.57/x
  3. Step 3: Cross multiply
    604.78x = 907.23 × 296.57
  4. Step 4: Simplify right side
    604.78x = 269,057.20
  5. Step 5: Solve for x
    x = 269,057.20/604.78
  6. Step 6: Final answer
    x = 444.88

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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.