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Finding the Fourth Proportional to 470.56, 705.24 and 213.52

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Solution

The fourth proportional to 470.56, 705.24 and 213.52 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 705.24 = 213.52 : x
  2. Step 2: Convert to fraction form
    470.56/705.24 = 213.52/x
  3. Step 3: Cross multiply
    470.56x = 705.24 × 213.52
  4. Step 4: Simplify right side
    470.56x = 150,582.84
  5. Step 5: Solve for x
    x = 150,582.84/470.56
  6. Step 6: Final answer
    x = 320.01

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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.