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Finding the Fourth Proportional to 472.95, 708.55 and 396.41

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Solution

The fourth proportional to 472.95, 708.55 and 396.41 is: 593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.95 : 708.55 = 396.41 : x
  2. Step 2: Convert to fraction form
    472.95/708.55 = 396.41/x
  3. Step 3: Cross multiply
    472.95x = 708.55 × 396.41
  4. Step 4: Simplify right side
    472.95x = 280,871.77
  5. Step 5: Solve for x
    x = 280,871.77/472.95
  6. Step 6: Final answer
    x = 593.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.