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Finding the Fourth Proportional to 380.62, 525.24 and 214.86

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Solution

The fourth proportional to 380.62, 525.24 and 214.86 is: 296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.62 : 525.24 = 214.86 : x
  2. Step 2: Convert to fraction form
    380.62/525.24 = 214.86/x
  3. Step 3: Cross multiply
    380.62x = 525.24 × 214.86
  4. Step 4: Simplify right side
    380.62x = 112,853.07
  5. Step 5: Solve for x
    x = 112,853.07/380.62
  6. Step 6: Final answer
    x = 296.50

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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.