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Finding the Fourth Proportional to 380.01, 524.46 and 214.23

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Solution

The fourth proportional to 380.01, 524.46 and 214.23 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.01 : 524.46 = 214.23 : x
  2. Step 2: Convert to fraction form
    380.01/524.46 = 214.23/x
  3. Step 3: Cross multiply
    380.01x = 524.46 × 214.23
  4. Step 4: Simplify right side
    380.01x = 112,355.07
  5. Step 5: Solve for x
    x = 112,355.07/380.01
  6. Step 6: Final answer
    x = 295.66

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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.