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Finding the Fourth Proportional to 472.22, 709.24 and 472.22

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Solution

The fourth proportional to 472.22, 709.24 and 472.22 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.22 : 709.24 = 472.22 : x
  2. Step 2: Convert to fraction form
    472.22/709.24 = 472.22/x
  3. Step 3: Cross multiply
    472.22x = 709.24 × 472.22
  4. Step 4: Simplify right side
    472.22x = 334,917.31
  5. Step 5: Solve for x
    x = 334,917.31/472.22
  6. Step 6: Final answer
    x = 709.24

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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.