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Finding the Fourth Proportional to 472.49, 652.06 and 276.02

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Solution

The fourth proportional to 472.49, 652.06 and 276.02 is: 380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.49 : 652.06 = 276.02 : x
  2. Step 2: Convert to fraction form
    472.49/652.06 = 276.02/x
  3. Step 3: Cross multiply
    472.49x = 652.06 × 276.02
  4. Step 4: Simplify right side
    472.49x = 179,981.60
  5. Step 5: Solve for x
    x = 179,981.60/472.49
  6. Step 6: Final answer
    x = 380.92

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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.