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Finding the Fourth Proportional to 472.68, 652.12 and 286.04

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Solution

The fourth proportional to 472.68, 652.12 and 286.04 is: 394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 652.12 = 286.04 : x
  2. Step 2: Convert to fraction form
    472.68/652.12 = 286.04/x
  3. Step 3: Cross multiply
    472.68x = 652.12 × 286.04
  4. Step 4: Simplify right side
    472.68x = 186,533.32
  5. Step 5: Solve for x
    x = 186,533.32/472.68
  6. Step 6: Final answer
    x = 394.63

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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.