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Finding the Fourth Proportional to 604.89, 907.56 and 280.17

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Solution

The fourth proportional to 604.89, 907.56 and 280.17 is: 420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.89 : 907.56 = 280.17 : x
  2. Step 2: Convert to fraction form
    604.89/907.56 = 280.17/x
  3. Step 3: Cross multiply
    604.89x = 907.56 × 280.17
  4. Step 4: Simplify right side
    604.89x = 254,271.09
  5. Step 5: Solve for x
    x = 254,271.09/604.89
  6. Step 6: Final answer
    x = 420.36

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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.