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Finding the Fourth Proportional to 575.30, 794.04 and 378.83

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Solution

The fourth proportional to 575.30, 794.04 and 378.83 is: 522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.30 : 794.04 = 378.83 : x
  2. Step 2: Convert to fraction form
    575.30/794.04 = 378.83/x
  3. Step 3: Cross multiply
    575.30x = 794.04 × 378.83
  4. Step 4: Simplify right side
    575.30x = 300,806.17
  5. Step 5: Solve for x
    x = 300,806.17/575.30
  6. Step 6: Final answer
    x = 522.87

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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.