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Finding the Fourth Proportional to 380.24, 524.70 and 214.46

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Solution

The fourth proportional to 380.24, 524.70 and 214.46 is: 295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.24 : 524.70 = 214.46 : x
  2. Step 2: Convert to fraction form
    380.24/524.70 = 214.46/x
  3. Step 3: Cross multiply
    380.24x = 524.70 × 214.46
  4. Step 4: Simplify right side
    380.24x = 112,527.16
  5. Step 5: Solve for x
    x = 112,527.16/380.24
  6. Step 6: Final answer
    x = 295.94

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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.