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Finding the Fourth Proportional to 314.84, 434.33 and 231.77

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Solution

The fourth proportional to 314.84, 434.33 and 231.77 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.84 : 434.33 = 231.77 : x
  2. Step 2: Convert to fraction form
    314.84/434.33 = 231.77/x
  3. Step 3: Cross multiply
    314.84x = 434.33 × 231.77
  4. Step 4: Simplify right side
    314.84x = 100,663.51
  5. Step 5: Solve for x
    x = 100,663.51/314.84
  6. Step 6: Final answer
    x = 319.73

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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.