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Finding the Fourth Proportional to 394.47, 590.67 and 312.39

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Solution

The fourth proportional to 394.47, 590.67 and 312.39 is: 467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.47 : 590.67 = 312.39 : x
  2. Step 2: Convert to fraction form
    394.47/590.67 = 312.39/x
  3. Step 3: Cross multiply
    394.47x = 590.67 × 312.39
  4. Step 4: Simplify right side
    394.47x = 184,519.40
  5. Step 5: Solve for x
    x = 184,519.40/394.47
  6. Step 6: Final answer
    x = 467.77

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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.