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Finding the Fourth Proportional to 472.25, 708.69 and 180.02

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Solution

The fourth proportional to 472.25, 708.69 and 180.02 is: 270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 708.69 = 180.02 : x
  2. Step 2: Convert to fraction form
    472.25/708.69 = 180.02/x
  3. Step 3: Cross multiply
    472.25x = 708.69 × 180.02
  4. Step 4: Simplify right side
    472.25x = 127,573.93
  5. Step 5: Solve for x
    x = 127,573.93/472.25
  6. Step 6: Final answer
    x = 270.14

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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.