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Finding the Fourth Proportional to 394.53, 590.87 and 313.42

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Solution

The fourth proportional to 394.53, 590.87 and 313.42 is: 469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.53 : 590.87 = 313.42 : x
  2. Step 2: Convert to fraction form
    394.53/590.87 = 313.42/x
  3. Step 3: Cross multiply
    394.53x = 590.87 × 313.42
  4. Step 4: Simplify right side
    394.53x = 185,190.48
  5. Step 5: Solve for x
    x = 185,190.48/394.53
  6. Step 6: Final answer
    x = 469.40

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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.