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Finding the Fourth Proportional to 314.56, 471.12 and 282.88

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Solution

The fourth proportional to 314.56, 471.12 and 282.88 is: 423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.56 : 471.12 = 282.88 : x
  2. Step 2: Convert to fraction form
    314.56/471.12 = 282.88/x
  3. Step 3: Cross multiply
    314.56x = 471.12 × 282.88
  4. Step 4: Simplify right side
    314.56x = 133,270.43
  5. Step 5: Solve for x
    x = 133,270.43/314.56
  6. Step 6: Final answer
    x = 423.67

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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.