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Finding the Fourth Proportional to 473.24, 653.27 and 276.82

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Solution

The fourth proportional to 473.24, 653.27 and 276.82 is: 382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 653.27 = 276.82 : x
  2. Step 2: Convert to fraction form
    473.24/653.27 = 276.82/x
  3. Step 3: Cross multiply
    473.24x = 653.27 × 276.82
  4. Step 4: Simplify right side
    473.24x = 180,835.18
  5. Step 5: Solve for x
    x = 180,835.18/473.24
  6. Step 6: Final answer
    x = 382.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.