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Finding the Fourth Proportional to 361.39, 498.65 and 214.05

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Solution

The fourth proportional to 361.39, 498.65 and 214.05 is: 295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.39 : 498.65 = 214.05 : x
  2. Step 2: Convert to fraction form
    361.39/498.65 = 214.05/x
  3. Step 3: Cross multiply
    361.39x = 498.65 × 214.05
  4. Step 4: Simplify right side
    361.39x = 106,734.96
  5. Step 5: Solve for x
    x = 106,734.96/361.39
  6. Step 6: Final answer
    x = 295.35

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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.