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Finding the Fourth Proportional to 394.33, 590.32 and 292.07

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Solution

The fourth proportional to 394.33, 590.32 and 292.07 is: 437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.33 : 590.32 = 292.07 : x
  2. Step 2: Convert to fraction form
    394.33/590.32 = 292.07/x
  3. Step 3: Cross multiply
    394.33x = 590.32 × 292.07
  4. Step 4: Simplify right side
    394.33x = 172,414.11
  5. Step 5: Solve for x
    x = 172,414.11/394.33
  6. Step 6: Final answer
    x = 437.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.