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Finding the Fourth Proportional to 578.77, 798.76 and 342.79

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Solution

The fourth proportional to 578.77, 798.76 and 342.79 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.77 : 798.76 = 342.79 : x
  2. Step 2: Convert to fraction form
    578.77/798.76 = 342.79/x
  3. Step 3: Cross multiply
    578.77x = 798.76 × 342.79
  4. Step 4: Simplify right side
    578.77x = 273,806.94
  5. Step 5: Solve for x
    x = 273,806.94/578.77
  6. Step 6: Final answer
    x = 473.08

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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.