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Finding the Fourth Proportional to 380.82, 524.38 and 314.18

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Solution

The fourth proportional to 380.82, 524.38 and 314.18 is: 432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.82 : 524.38 = 314.18 : x
  2. Step 2: Convert to fraction form
    380.82/524.38 = 314.18/x
  3. Step 3: Cross multiply
    380.82x = 524.38 × 314.18
  4. Step 4: Simplify right side
    380.82x = 164,748.14
  5. Step 5: Solve for x
    x = 164,748.14/380.82
  6. Step 6: Final answer
    x = 432.61

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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.