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Finding the Fourth Proportional to 472.99, 709.69 and 180.58

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Solution

The fourth proportional to 472.99, 709.69 and 180.58 is: 270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.99 : 709.69 = 180.58 : x
  2. Step 2: Convert to fraction form
    472.99/709.69 = 180.58/x
  3. Step 3: Cross multiply
    472.99x = 709.69 × 180.58
  4. Step 4: Simplify right side
    472.99x = 128,155.33
  5. Step 5: Solve for x
    x = 128,155.33/472.99
  6. Step 6: Final answer
    x = 270.95

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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.