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Finding the Fourth Proportional to 604.86, 907.56 and 280.23

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Solution

The fourth proportional to 604.86, 907.56 and 280.23 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 907.56 = 280.23 : x
  2. Step 2: Convert to fraction form
    604.86/907.56 = 280.23/x
  3. Step 3: Cross multiply
    604.86x = 907.56 × 280.23
  4. Step 4: Simplify right side
    604.86x = 254,325.54
  5. Step 5: Solve for x
    x = 254,325.54/604.86
  6. Step 6: Final answer
    x = 420.47

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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.