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Finding the Fourth Proportional to 378.63, 567.47 and 214.09

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Solution

The fourth proportional to 378.63, 567.47 and 214.09 is: 320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.63 : 567.47 = 214.09 : x
  2. Step 2: Convert to fraction form
    378.63/567.47 = 214.09/x
  3. Step 3: Cross multiply
    378.63x = 567.47 × 214.09
  4. Step 4: Simplify right side
    378.63x = 121,488.77
  5. Step 5: Solve for x
    x = 121,488.77/378.63
  6. Step 6: Final answer
    x = 320.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.