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Finding the Fourth Proportional to 472.38, 708.44 and 183.75

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Solution

The fourth proportional to 472.38, 708.44 and 183.75 is: 275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 708.44 = 183.75 : x
  2. Step 2: Convert to fraction form
    472.38/708.44 = 183.75/x
  3. Step 3: Cross multiply
    472.38x = 708.44 × 183.75
  4. Step 4: Simplify right side
    472.38x = 130,174.93
  5. Step 5: Solve for x
    x = 130,174.93/472.38
  6. Step 6: Final answer
    x = 275.57

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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.