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Finding the Fourth Proportional to 394.08, 594.12 and 366.24

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Solution

The fourth proportional to 394.08, 594.12 and 366.24 is: 552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 594.12 = 366.24 : x
  2. Step 2: Convert to fraction form
    394.08/594.12 = 366.24/x
  3. Step 3: Cross multiply
    394.08x = 594.12 × 366.24
  4. Step 4: Simplify right side
    394.08x = 217,590.51
  5. Step 5: Solve for x
    x = 217,590.51/394.08
  6. Step 6: Final answer
    x = 552.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.