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Finding the Fourth Proportional to 313.82, 432.79 and 214.19

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Solution

The fourth proportional to 313.82, 432.79 and 214.19 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.82 : 432.79 = 214.19 : x
  2. Step 2: Convert to fraction form
    313.82/432.79 = 214.19/x
  3. Step 3: Cross multiply
    313.82x = 432.79 × 214.19
  4. Step 4: Simplify right side
    313.82x = 92,698.21
  5. Step 5: Solve for x
    x = 92,698.21/313.82
  6. Step 6: Final answer
    x = 295.39

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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.