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Finding the Fourth Proportional to 380.53, 525.13 and 214.80

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Solution

The fourth proportional to 380.53, 525.13 and 214.80 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 525.13 = 214.80 : x
  2. Step 2: Convert to fraction form
    380.53/525.13 = 214.80/x
  3. Step 3: Cross multiply
    380.53x = 525.13 × 214.80
  4. Step 4: Simplify right side
    380.53x = 112,796.61
  5. Step 5: Solve for x
    x = 112,796.61/380.53
  6. Step 6: Final answer
    x = 296.42

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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.