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Finding the Fourth Proportional to 380.19, 524.65 and 214.40

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Solution

The fourth proportional to 380.19, 524.65 and 214.40 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 524.65 = 214.40 : x
  2. Step 2: Convert to fraction form
    380.19/524.65 = 214.40/x
  3. Step 3: Cross multiply
    380.19x = 524.65 × 214.40
  4. Step 4: Simplify right side
    380.19x = 112,486.00
  5. Step 5: Solve for x
    x = 112,486.00/380.19
  6. Step 6: Final answer
    x = 295.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.