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Finding the Fourth Proportional to 472.65, 652.01 and 286.04

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Solution

The fourth proportional to 472.65, 652.01 and 286.04 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.65 : 652.01 = 286.04 : x
  2. Step 2: Convert to fraction form
    472.65/652.01 = 286.04/x
  3. Step 3: Cross multiply
    472.65x = 652.01 × 286.04
  4. Step 4: Simplify right side
    472.65x = 186,496.25
  5. Step 5: Solve for x
    x = 186,496.25/472.65
  6. Step 6: Final answer
    x = 394.58

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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.