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Finding the Fourth Proportional to 473.61, 653.55 and 274.43

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Solution

The fourth proportional to 473.61, 653.55 and 274.43 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.61 : 653.55 = 274.43 : x
  2. Step 2: Convert to fraction form
    473.61/653.55 = 274.43/x
  3. Step 3: Cross multiply
    473.61x = 653.55 × 274.43
  4. Step 4: Simplify right side
    473.61x = 179,353.73
  5. Step 5: Solve for x
    x = 179,353.73/473.61
  6. Step 6: Final answer
    x = 378.69

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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.