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Finding the Fourth Proportional to 605.30, 907.26 and 280.02

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Solution

The fourth proportional to 605.30, 907.26 and 280.02 is: 419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.30 : 907.26 = 280.02 : x
  2. Step 2: Convert to fraction form
    605.30/907.26 = 280.02/x
  3. Step 3: Cross multiply
    605.30x = 907.26 × 280.02
  4. Step 4: Simplify right side
    605.30x = 254,050.95
  5. Step 5: Solve for x
    x = 254,050.95/605.30
  6. Step 6: Final answer
    x = 419.71

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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.