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Finding the Fourth Proportional to 380.67, 525.35 and 214.92

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Solution

The fourth proportional to 380.67, 525.35 and 214.92 is: 296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.67 : 525.35 = 214.92 : x
  2. Step 2: Convert to fraction form
    380.67/525.35 = 214.92/x
  3. Step 3: Cross multiply
    380.67x = 525.35 × 214.92
  4. Step 4: Simplify right side
    380.67x = 112,907.15
  5. Step 5: Solve for x
    x = 112,907.15/380.67
  6. Step 6: Final answer
    x = 296.60

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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.