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Finding the Fourth Proportional to 472.62, 652.19 and 295.52

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Solution

The fourth proportional to 472.62, 652.19 and 295.52 is: 407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.62 : 652.19 = 295.52 : x
  2. Step 2: Convert to fraction form
    472.62/652.19 = 295.52/x
  3. Step 3: Cross multiply
    472.62x = 652.19 × 295.52
  4. Step 4: Simplify right side
    472.62x = 192,730.45
  5. Step 5: Solve for x
    x = 192,730.45/472.62
  6. Step 6: Final answer
    x = 407.79

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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.