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Finding the Fourth Proportional to 472.72, 652.47 and 286.32

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Solution

The fourth proportional to 472.72, 652.47 and 286.32 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 652.47 = 286.32 : x
  2. Step 2: Convert to fraction form
    472.72/652.47 = 286.32/x
  3. Step 3: Cross multiply
    472.72x = 652.47 × 286.32
  4. Step 4: Simplify right side
    472.72x = 186,815.21
  5. Step 5: Solve for x
    x = 186,815.21/472.72
  6. Step 6: Final answer
    x = 395.19

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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.