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Finding the Fourth Proportional to 313.05, 432.02 and 208.33

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Solution

The fourth proportional to 313.05, 432.02 and 208.33 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 432.02 = 208.33 : x
  2. Step 2: Convert to fraction form
    313.05/432.02 = 208.33/x
  3. Step 3: Cross multiply
    313.05x = 432.02 × 208.33
  4. Step 4: Simplify right side
    313.05x = 90,002.73
  5. Step 5: Solve for x
    x = 90,002.73/313.05
  6. Step 6: Final answer
    x = 287.50

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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.