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Finding the Fourth Proportional to 313.81, 470.91 and 285.19

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Solution

The fourth proportional to 313.81, 470.91 and 285.19 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.81 : 470.91 = 285.19 : x
  2. Step 2: Convert to fraction form
    313.81/470.91 = 285.19/x
  3. Step 3: Cross multiply
    313.81x = 470.91 × 285.19
  4. Step 4: Simplify right side
    313.81x = 134,298.82
  5. Step 5: Solve for x
    x = 134,298.82/313.81
  6. Step 6: Final answer
    x = 427.96

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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.