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Finding the Fourth Proportional to 392.67, 590.13 and 290.19

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Solution

The fourth proportional to 392.67, 590.13 and 290.19 is: 436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.67 : 590.13 = 290.19 : x
  2. Step 2: Convert to fraction form
    392.67/590.13 = 290.19/x
  3. Step 3: Cross multiply
    392.67x = 590.13 × 290.19
  4. Step 4: Simplify right side
    392.67x = 171,249.82
  5. Step 5: Solve for x
    x = 171,249.82/392.67
  6. Step 6: Final answer
    x = 436.12

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