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Finding the Fourth Proportional to 472.70, 707.97 and 309.98

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Solution

The fourth proportional to 472.70, 707.97 and 309.98 is: 464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 707.97 = 309.98 : x
  2. Step 2: Convert to fraction form
    472.70/707.97 = 309.98/x
  3. Step 3: Cross multiply
    472.70x = 707.97 × 309.98
  4. Step 4: Simplify right side
    472.70x = 219,456.54
  5. Step 5: Solve for x
    x = 219,456.54/472.70
  6. Step 6: Final answer
    x = 464.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.