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Finding the Fourth Proportional to 472.58, 652.14 and 276.11

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Solution

The fourth proportional to 472.58, 652.14 and 276.11 is: 381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.58 : 652.14 = 276.11 : x
  2. Step 2: Convert to fraction form
    472.58/652.14 = 276.11/x
  3. Step 3: Cross multiply
    472.58x = 652.14 × 276.11
  4. Step 4: Simplify right side
    472.58x = 180,062.38
  5. Step 5: Solve for x
    x = 180,062.38/472.58
  6. Step 6: Final answer
    x = 381.02

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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.