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Finding the Fourth Proportional to 578.83, 798.78 and 342.79

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Solution

The fourth proportional to 578.83, 798.78 and 342.79 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.83 : 798.78 = 342.79 : x
  2. Step 2: Convert to fraction form
    578.83/798.78 = 342.79/x
  3. Step 3: Cross multiply
    578.83x = 798.78 × 342.79
  4. Step 4: Simplify right side
    578.83x = 273,813.80
  5. Step 5: Solve for x
    x = 273,813.80/578.83
  6. Step 6: Final answer
    x = 473.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.