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Finding the Fourth Proportional to 354.21, 488.81 and 214.30

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Solution

The fourth proportional to 354.21, 488.81 and 214.30 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.21 : 488.81 = 214.30 : x
  2. Step 2: Convert to fraction form
    354.21/488.81 = 214.30/x
  3. Step 3: Cross multiply
    354.21x = 488.81 × 214.30
  4. Step 4: Simplify right side
    354.21x = 104,753.13
  5. Step 5: Solve for x
    x = 104,753.13/354.21
  6. Step 6: Final answer
    x = 295.74

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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.