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Finding the Fourth Proportional to 354.19, 488.80 and 214.31

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Solution

The fourth proportional to 354.19, 488.80 and 214.31 is: 295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.19 : 488.80 = 214.31 : x
  2. Step 2: Convert to fraction form
    354.19/488.80 = 214.31/x
  3. Step 3: Cross multiply
    354.19x = 488.80 × 214.31
  4. Step 4: Simplify right side
    354.19x = 104,752.28
  5. Step 5: Solve for x
    x = 104,752.28/354.19
  6. Step 6: Final answer
    x = 295.76

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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.