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Finding the Fourth Proportional to 472.78, 709 and 180.21

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Solution

The fourth proportional to 472.78, 709 and 180.21 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 709 = 180.21 : x
  2. Step 2: Convert to fraction form
    472.78/709 = 180.21/x
  3. Step 3: Cross multiply
    472.78x = 709 × 180.21
  4. Step 4: Simplify right side
    472.78x = 127,768.89
  5. Step 5: Solve for x
    x = 127,768.89/472.78
  6. Step 6: Final answer
    x = 270.25

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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.