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Finding the Fourth Proportional to 605.24, 907.32 and 280.34

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Solution

The fourth proportional to 605.24, 907.32 and 280.34 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.24 : 907.32 = 280.34 : x
  2. Step 2: Convert to fraction form
    605.24/907.32 = 280.34/x
  3. Step 3: Cross multiply
    605.24x = 907.32 × 280.34
  4. Step 4: Simplify right side
    605.24x = 254,358.09
  5. Step 5: Solve for x
    x = 254,358.09/605.24
  6. Step 6: Final answer
    x = 420.26

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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.