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Finding the Fourth Proportional to 380.17, 524.64 and 214.35

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Solution

The fourth proportional to 380.17, 524.64 and 214.35 is: 295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.17 : 524.64 = 214.35 : x
  2. Step 2: Convert to fraction form
    380.17/524.64 = 214.35/x
  3. Step 3: Cross multiply
    380.17x = 524.64 × 214.35
  4. Step 4: Simplify right side
    380.17x = 112,455.01
  5. Step 5: Solve for x
    x = 112,455.01/380.17
  6. Step 6: Final answer
    x = 295.80

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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.