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Finding the Fourth Proportional to 605.02, 907.83 and 280.34

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Solution

The fourth proportional to 605.02, 907.83 and 280.34 is: 420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.02 : 907.83 = 280.34 : x
  2. Step 2: Convert to fraction form
    605.02/907.83 = 280.34/x
  3. Step 3: Cross multiply
    605.02x = 907.83 × 280.34
  4. Step 4: Simplify right side
    605.02x = 254,503.33
  5. Step 5: Solve for x
    x = 254,503.33/605.02
  6. Step 6: Final answer
    x = 420.65

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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.