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Finding the Fourth Proportional to 605.80, 907.91 and 280.47

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Solution

The fourth proportional to 605.80, 907.91 and 280.47 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.80 : 907.91 = 280.47 : x
  2. Step 2: Convert to fraction form
    605.80/907.91 = 280.47/x
  3. Step 3: Cross multiply
    605.80x = 907.91 × 280.47
  4. Step 4: Simplify right side
    605.80x = 254,641.52
  5. Step 5: Solve for x
    x = 254,641.52/605.80
  6. Step 6: Final answer
    x = 420.34

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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.