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Finding the Fourth Proportional to 472.70, 628.21 and 472.70

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Solution

The fourth proportional to 472.70, 628.21 and 472.70 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 628.21 = 472.70 : x
  2. Step 2: Convert to fraction form
    472.70/628.21 = 472.70/x
  3. Step 3: Cross multiply
    472.70x = 628.21 × 472.70
  4. Step 4: Simplify right side
    472.70x = 296,952.50
  5. Step 5: Solve for x
    x = 296,952.50/472.70
  6. Step 6: Final answer
    x = 628.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.