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Finding the Fourth Proportional to 472.62, 708.94 and 180.08

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Solution

The fourth proportional to 472.62, 708.94 and 180.08 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.62 : 708.94 = 180.08 : x
  2. Step 2: Convert to fraction form
    472.62/708.94 = 180.08/x
  3. Step 3: Cross multiply
    472.62x = 708.94 × 180.08
  4. Step 4: Simplify right side
    472.62x = 127,669.75
  5. Step 5: Solve for x
    x = 127,669.75/472.62
  6. Step 6: Final answer
    x = 270.13

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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.