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Finding the Fourth Proportional to 316.08, 471.96 and 279.72

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Solution

The fourth proportional to 316.08, 471.96 and 279.72 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 471.96 = 279.72 : x
  2. Step 2: Convert to fraction form
    316.08/471.96 = 279.72/x
  3. Step 3: Cross multiply
    316.08x = 471.96 × 279.72
  4. Step 4: Simplify right side
    316.08x = 132,016.65
  5. Step 5: Solve for x
    x = 132,016.65/316.08
  6. Step 6: Final answer
    x = 417.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.