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Finding the Fourth Proportional to 472.70, 709.05 and 183.94

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Solution

The fourth proportional to 472.70, 709.05 and 183.94 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 709.05 = 183.94 : x
  2. Step 2: Convert to fraction form
    472.70/709.05 = 183.94/x
  3. Step 3: Cross multiply
    472.70x = 709.05 × 183.94
  4. Step 4: Simplify right side
    472.70x = 130,421.57
  5. Step 5: Solve for x
    x = 130,421.57/472.70
  6. Step 6: Final answer
    x = 275.91

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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.