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Finding the Fourth Proportional to 473.12, 652.92 and 276.76

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Solution

The fourth proportional to 473.12, 652.92 and 276.76 is: 381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 652.92 = 276.76 : x
  2. Step 2: Convert to fraction form
    473.12/652.92 = 276.76/x
  3. Step 3: Cross multiply
    473.12x = 652.92 × 276.76
  4. Step 4: Simplify right side
    473.12x = 180,702.14
  5. Step 5: Solve for x
    x = 180,702.14/473.12
  6. Step 6: Final answer
    x = 381.94

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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.