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Finding the Fourth Proportional to 473.15, 653.57 and 394.73

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Solution

The fourth proportional to 473.15, 653.57 and 394.73 is: 545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 653.57 = 394.73 : x
  2. Step 2: Convert to fraction form
    473.15/653.57 = 394.73/x
  3. Step 3: Cross multiply
    473.15x = 653.57 × 394.73
  4. Step 4: Simplify right side
    473.15x = 257,983.69
  5. Step 5: Solve for x
    x = 257,983.69/473.15
  6. Step 6: Final answer
    x = 545.25

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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.