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Finding the Fourth Proportional to 315.03, 471.79 and 223.30

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Solution

The fourth proportional to 315.03, 471.79 and 223.30 is: 334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.03 : 471.79 = 223.30 : x
  2. Step 2: Convert to fraction form
    315.03/471.79 = 223.30/x
  3. Step 3: Cross multiply
    315.03x = 471.79 × 223.30
  4. Step 4: Simplify right side
    315.03x = 105,351.58
  5. Step 5: Solve for x
    x = 105,351.58/315.03
  6. Step 6: Final answer
    x = 334.41

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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.