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Finding the Fourth Proportional to 380.32, 524.86 and 214.56

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Solution

The fourth proportional to 380.32, 524.86 and 214.56 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 524.86 = 214.56 : x
  2. Step 2: Convert to fraction form
    380.32/524.86 = 214.56/x
  3. Step 3: Cross multiply
    380.32x = 524.86 × 214.56
  4. Step 4: Simplify right side
    380.32x = 112,613.96
  5. Step 5: Solve for x
    x = 112,613.96/380.32
  6. Step 6: Final answer
    x = 296.10

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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.