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Finding the Fourth Proportional to 296.33, 409.07 and 207.89

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Solution

The fourth proportional to 296.33, 409.07 and 207.89 is: 286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.33 : 409.07 = 207.89 : x
  2. Step 2: Convert to fraction form
    296.33/409.07 = 207.89/x
  3. Step 3: Cross multiply
    296.33x = 409.07 × 207.89
  4. Step 4: Simplify right side
    296.33x = 85,041.56
  5. Step 5: Solve for x
    x = 85,041.56/296.33
  6. Step 6: Final answer
    x = 286.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.