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Finding the Fourth Proportional to 472.74, 709.05 and 180.18

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Solution

The fourth proportional to 472.74, 709.05 and 180.18 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.74 : 709.05 = 180.18 : x
  2. Step 2: Convert to fraction form
    472.74/709.05 = 180.18/x
  3. Step 3: Cross multiply
    472.74x = 709.05 × 180.18
  4. Step 4: Simplify right side
    472.74x = 127,756.63
  5. Step 5: Solve for x
    x = 127,756.63/472.74
  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.