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Finding the Fourth Proportional to 472.74, 707.85 and 380.94

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Solution

The fourth proportional to 472.74, 707.85 and 380.94 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.74 : 707.85 = 380.94 : x
  2. Step 2: Convert to fraction form
    472.74/707.85 = 380.94/x
  3. Step 3: Cross multiply
    472.74x = 707.85 × 380.94
  4. Step 4: Simplify right side
    472.74x = 269,648.38
  5. Step 5: Solve for x
    x = 269,648.38/472.74
  6. Step 6: Final answer
    x = 570.39

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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.