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Finding the Fourth Proportional to 472.62, 652.29 and 286.13

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Solution

The fourth proportional to 472.62, 652.29 and 286.13 is: 394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.62 : 652.29 = 286.13 : x
  2. Step 2: Convert to fraction form
    472.62/652.29 = 286.13/x
  3. Step 3: Cross multiply
    472.62x = 652.29 × 286.13
  4. Step 4: Simplify right side
    472.62x = 186,636.48
  5. Step 5: Solve for x
    x = 186,636.48/472.62
  6. Step 6: Final answer
    x = 394.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.