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Finding the Fourth Proportional to 472.93, 709.46 and 184.33

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Solution

The fourth proportional to 472.93, 709.46 and 184.33 is: 276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.93 : 709.46 = 184.33 : x
  2. Step 2: Convert to fraction form
    472.93/709.46 = 184.33/x
  3. Step 3: Cross multiply
    472.93x = 709.46 × 184.33
  4. Step 4: Simplify right side
    472.93x = 130,773.84
  5. Step 5: Solve for x
    x = 130,773.84/472.93
  6. Step 6: Final answer
    x = 276.52

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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.