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Finding the Fourth Proportional to 605.23, 907.18 and 396.75

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Solution

The fourth proportional to 605.23, 907.18 and 396.75 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.23 : 907.18 = 396.75 : x
  2. Step 2: Convert to fraction form
    605.23/907.18 = 396.75/x
  3. Step 3: Cross multiply
    605.23x = 907.18 × 396.75
  4. Step 4: Simplify right side
    605.23x = 359,923.67
  5. Step 5: Solve for x
    x = 359,923.67/605.23
  6. Step 6: Final answer
    x = 594.69

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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.