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Finding the Fourth Proportional to 380, 524.31 and 214.18

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Solution

The fourth proportional to 380, 524.31 and 214.18 is: 295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 524.31 = 214.18 : x
  2. Step 2: Convert to fraction form
    380/524.31 = 214.18/x
  3. Step 3: Cross multiply
    380x = 524.31 × 214.18
  4. Step 4: Simplify right side
    380x = 112,296.72
  5. Step 5: Solve for x
    x = 112,296.72/380
  6. Step 6: Final answer
    x = 295.52

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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.