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Finding the Fourth Proportional to 310.74, 466.56 and 270.19

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Solution

The fourth proportional to 310.74, 466.56 and 270.19 is: 405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 466.56 = 270.19 : x
  2. Step 2: Convert to fraction form
    310.74/466.56 = 270.19/x
  3. Step 3: Cross multiply
    310.74x = 466.56 × 270.19
  4. Step 4: Simplify right side
    310.74x = 126,057.81
  5. Step 5: Solve for x
    x = 126,057.81/310.74
  6. Step 6: Final answer
    x = 405.67

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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.