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Finding the Fourth Proportional to 472.79, 652.23 and 276.17

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Solution

The fourth proportional to 472.79, 652.23 and 276.17 is: 380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.79 : 652.23 = 276.17 : x
  2. Step 2: Convert to fraction form
    472.79/652.23 = 276.17/x
  3. Step 3: Cross multiply
    472.79x = 652.23 × 276.17
  4. Step 4: Simplify right side
    472.79x = 180,126.36
  5. Step 5: Solve for x
    x = 180,126.36/472.79
  6. Step 6: Final answer
    x = 380.99

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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.