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Finding the Fourth Proportional to 313.44, 432.45 and 208.68

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Solution

The fourth proportional to 313.44, 432.45 and 208.68 is: 287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 432.45 = 208.68 : x
  2. Step 2: Convert to fraction form
    313.44/432.45 = 208.68/x
  3. Step 3: Cross multiply
    313.44x = 432.45 × 208.68
  4. Step 4: Simplify right side
    313.44x = 90,243.67
  5. Step 5: Solve for x
    x = 90,243.67/313.44
  6. Step 6: Final answer
    x = 287.91

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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.