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Finding the Fourth Proportional to 472.70, 663.70 and 472.70

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Solution

The fourth proportional to 472.70, 663.70 and 472.70 is: 663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 663.70 = 472.70 : x
  2. Step 2: Convert to fraction form
    472.70/663.70 = 472.70/x
  3. Step 3: Cross multiply
    472.70x = 663.70 × 472.70
  4. Step 4: Simplify right side
    472.70x = 313,730.99
  5. Step 5: Solve for x
    x = 313,730.99/472.70
  6. Step 6: Final answer
    x = 663.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.