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Finding the Fourth Proportional to 574.83, 793.40 and 342.09

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Solution

The fourth proportional to 574.83, 793.40 and 342.09 is: 472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.83 : 793.40 = 342.09 : x
  2. Step 2: Convert to fraction form
    574.83/793.40 = 342.09/x
  3. Step 3: Cross multiply
    574.83x = 793.40 × 342.09
  4. Step 4: Simplify right side
    574.83x = 271,412.50
  5. Step 5: Solve for x
    x = 271,412.50/574.83
  6. Step 6: Final answer
    x = 472.16

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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.