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Finding the Fourth Proportional to 576, 794.66 and 366.08

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Solution

The fourth proportional to 576, 794.66 and 366.08 is: 505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 794.66 = 366.08 : x
  2. Step 2: Convert to fraction form
    576/794.66 = 366.08/x
  3. Step 3: Cross multiply
    576x = 794.66 × 366.08
  4. Step 4: Simplify right side
    576x = 290,903.33
  5. Step 5: Solve for x
    x = 290,903.33/576
  6. Step 6: Final answer
    x = 505.04

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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.