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Finding the Fourth Proportional to 475.42, 656.49 and 351.30

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Solution

The fourth proportional to 475.42, 656.49 and 351.30 is: 485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.42 : 656.49 = 351.30 : x
  2. Step 2: Convert to fraction form
    475.42/656.49 = 351.30/x
  3. Step 3: Cross multiply
    475.42x = 656.49 × 351.30
  4. Step 4: Simplify right side
    475.42x = 230,621.65
  5. Step 5: Solve for x
    x = 230,621.65/475.42
  6. Step 6: Final answer
    x = 485.09

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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.