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Finding the Fourth Proportional to 472.92, 652.57 and 295.84

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Solution

The fourth proportional to 472.92, 652.57 and 295.84 is: 408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.92 : 652.57 = 295.84 : x
  2. Step 2: Convert to fraction form
    472.92/652.57 = 295.84/x
  3. Step 3: Cross multiply
    472.92x = 652.57 × 295.84
  4. Step 4: Simplify right side
    472.92x = 193,056.31
  5. Step 5: Solve for x
    x = 193,056.31/472.92
  6. Step 6: Final answer
    x = 408.22

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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.