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Finding the Fourth Proportional to 472.83, 709.24 and 143.77

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Solution

The fourth proportional to 472.83, 709.24 and 143.77 is: 215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.83 : 709.24 = 143.77 : x
  2. Step 2: Convert to fraction form
    472.83/709.24 = 143.77/x
  3. Step 3: Cross multiply
    472.83x = 709.24 × 143.77
  4. Step 4: Simplify right side
    472.83x = 101,964.60
  5. Step 5: Solve for x
    x = 101,964.60/472.83
  6. Step 6: Final answer
    x = 215.65

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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.