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Finding the Fourth Proportional to 605.28, 907.35 and 280.26

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Solution

The fourth proportional to 605.28, 907.35 and 280.26 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.28 : 907.35 = 280.26 : x
  2. Step 2: Convert to fraction form
    605.28/907.35 = 280.26/x
  3. Step 3: Cross multiply
    605.28x = 907.35 × 280.26
  4. Step 4: Simplify right side
    605.28x = 254,293.91
  5. Step 5: Solve for x
    x = 254,293.91/605.28
  6. Step 6: Final answer
    x = 420.13

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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.