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Finding the Fourth Proportional to 472.78, 652.44 and 286.23

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Solution

The fourth proportional to 472.78, 652.44 and 286.23 is: 395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 652.44 = 286.23 : x
  2. Step 2: Convert to fraction form
    472.78/652.44 = 286.23/x
  3. Step 3: Cross multiply
    472.78x = 652.44 × 286.23
  4. Step 4: Simplify right side
    472.78x = 186,747.90
  5. Step 5: Solve for x
    x = 186,747.90/472.78
  6. Step 6: Final answer
    x = 395.00

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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.