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Finding the Fourth Proportional to 472.87, 652.66 and 286.47

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Solution

The fourth proportional to 472.87, 652.66 and 286.47 is: 395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.87 : 652.66 = 286.47 : x
  2. Step 2: Convert to fraction form
    472.87/652.66 = 286.47/x
  3. Step 3: Cross multiply
    472.87x = 652.66 × 286.47
  4. Step 4: Simplify right side
    472.87x = 186,966.79
  5. Step 5: Solve for x
    x = 186,966.79/472.87
  6. Step 6: Final answer
    x = 395.39

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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.