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Finding the Fourth Proportional to 380.29, 524.84 and 214.54

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Solution

The fourth proportional to 380.29, 524.84 and 214.54 is: 296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.29 : 524.84 = 214.54 : x
  2. Step 2: Convert to fraction form
    380.29/524.84 = 214.54/x
  3. Step 3: Cross multiply
    380.29x = 524.84 × 214.54
  4. Step 4: Simplify right side
    380.29x = 112,596.79
  5. Step 5: Solve for x
    x = 112,596.79/380.29
  6. Step 6: Final answer
    x = 296.08

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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.