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Finding the Fourth Proportional to 604.97, 907.52 and 280.43

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Solution

The fourth proportional to 604.97, 907.52 and 280.43 is: 420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.97 : 907.52 = 280.43 : x
  2. Step 2: Convert to fraction form
    604.97/907.52 = 280.43/x
  3. Step 3: Cross multiply
    604.97x = 907.52 × 280.43
  4. Step 4: Simplify right side
    604.97x = 254,494.43
  5. Step 5: Solve for x
    x = 254,494.43/604.97
  6. Step 6: Final answer
    x = 420.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.