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Finding the Fourth Proportional to 475.23, 656.16 and 351.03

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Solution

The fourth proportional to 475.23, 656.16 and 351.03 is: 484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.23 : 656.16 = 351.03 : x
  2. Step 2: Convert to fraction form
    475.23/656.16 = 351.03/x
  3. Step 3: Cross multiply
    475.23x = 656.16 × 351.03
  4. Step 4: Simplify right side
    475.23x = 230,331.84
  5. Step 5: Solve for x
    x = 230,331.84/475.23
  6. Step 6: Final answer
    x = 484.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.