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Finding the Fourth Proportional to 378.86, 568.56 and 325.04

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Solution

The fourth proportional to 378.86, 568.56 and 325.04 is: 487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 568.56 = 325.04 : x
  2. Step 2: Convert to fraction form
    378.86/568.56 = 325.04/x
  3. Step 3: Cross multiply
    378.86x = 568.56 × 325.04
  4. Step 4: Simplify right side
    378.86x = 184,804.74
  5. Step 5: Solve for x
    x = 184,804.74/378.86
  6. Step 6: Final answer
    x = 487.79

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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.