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Finding the Fourth Proportional to 313.29, 432.42 and 208.41

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Solution

The fourth proportional to 313.29, 432.42 and 208.41 is: 287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 432.42 = 208.41 : x
  2. Step 2: Convert to fraction form
    313.29/432.42 = 208.41/x
  3. Step 3: Cross multiply
    313.29x = 432.42 × 208.41
  4. Step 4: Simplify right side
    313.29x = 90,120.65
  5. Step 5: Solve for x
    x = 90,120.65/313.29
  6. Step 6: Final answer
    x = 287.66

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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.