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Finding the Fourth Proportional to 472.69, 709.13 and 184.13

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Solution

The fourth proportional to 472.69, 709.13 and 184.13 is: 276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.69 : 709.13 = 184.13 : x
  2. Step 2: Convert to fraction form
    472.69/709.13 = 184.13/x
  3. Step 3: Cross multiply
    472.69x = 709.13 × 184.13
  4. Step 4: Simplify right side
    472.69x = 130,569.02
  5. Step 5: Solve for x
    x = 130,569.02/472.69
  6. Step 6: Final answer
    x = 276.23

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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.