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Finding the Fourth Proportional to 472.76, 709.10 and 180.24

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Solution

The fourth proportional to 472.76, 709.10 and 180.24 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.76 : 709.10 = 180.24 : x
  2. Step 2: Convert to fraction form
    472.76/709.10 = 180.24/x
  3. Step 3: Cross multiply
    472.76x = 709.10 × 180.24
  4. Step 4: Simplify right side
    472.76x = 127,808.18
  5. Step 5: Solve for x
    x = 127,808.18/472.76
  6. Step 6: Final answer
    x = 270.34

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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.