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Finding the Fourth Proportional to 605.23, 907.14 and 330.70

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Solution

The fourth proportional to 605.23, 907.14 and 330.70 is: 495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.23 : 907.14 = 330.70 : x
  2. Step 2: Convert to fraction form
    605.23/907.14 = 330.70/x
  3. Step 3: Cross multiply
    605.23x = 907.14 × 330.70
  4. Step 4: Simplify right side
    605.23x = 299,991.20
  5. Step 5: Solve for x
    x = 299,991.20/605.23
  6. Step 6: Final answer
    x = 495.66

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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.