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Finding the Fourth Proportional to 605.37, 907.19 and 296.88

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Solution

The fourth proportional to 605.37, 907.19 and 296.88 is: 444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.37 : 907.19 = 296.88 : x
  2. Step 2: Convert to fraction form
    605.37/907.19 = 296.88/x
  3. Step 3: Cross multiply
    605.37x = 907.19 × 296.88
  4. Step 4: Simplify right side
    605.37x = 269,323.65
  5. Step 5: Solve for x
    x = 269,323.65/605.37
  6. Step 6: Final answer
    x = 444.89

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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.