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Finding the Fourth Proportional to 575.20, 793.04 and 418.08

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Solution

The fourth proportional to 575.20, 793.04 and 418.08 is: 576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.20 : 793.04 = 418.08 : x
  2. Step 2: Convert to fraction form
    575.20/793.04 = 418.08/x
  3. Step 3: Cross multiply
    575.20x = 793.04 × 418.08
  4. Step 4: Simplify right side
    575.20x = 331,554.16
  5. Step 5: Solve for x
    x = 331,554.16/575.20
  6. Step 6: Final answer
    x = 576.42

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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.