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Finding the Fourth Proportional to 391.42, 590.07 and 365.00

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Solution

The fourth proportional to 391.42, 590.07 and 365.00 is: 550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.42 : 590.07 = 365.00 : x
  2. Step 2: Convert to fraction form
    391.42/590.07 = 365.00/x
  3. Step 3: Cross multiply
    391.42x = 590.07 × 365.00
  4. Step 4: Simplify right side
    391.42x = 215,372.60
  5. Step 5: Solve for x
    x = 215,372.60/391.42
  6. Step 6: Final answer
    x = 550.24

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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.