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Finding the Fourth Proportional to 378.86, 568.07 and 214.07

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Solution

The fourth proportional to 378.86, 568.07 and 214.07 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 568.07 = 214.07 : x
  2. Step 2: Convert to fraction form
    378.86/568.07 = 214.07/x
  3. Step 3: Cross multiply
    378.86x = 568.07 × 214.07
  4. Step 4: Simplify right side
    378.86x = 121,606.74
  5. Step 5: Solve for x
    x = 121,606.74/378.86
  6. Step 6: Final answer
    x = 320.98

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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.