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Finding the Fourth Proportional to 475.32, 713.22 and 219

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Solution

The fourth proportional to 475.32, 713.22 and 219 is: 328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.32 : 713.22 = 219 : x
  2. Step 2: Convert to fraction form
    475.32/713.22 = 219/x
  3. Step 3: Cross multiply
    475.32x = 713.22 × 219
  4. Step 4: Simplify right side
    475.32x = 156,195.18
  5. Step 5: Solve for x
    x = 156,195.18/475.32
  6. Step 6: Final answer
    x = 328.61

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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.