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Finding the Fourth Proportional to 473.56, 653.46 and 263.74

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Solution

The fourth proportional to 473.56, 653.46 and 263.74 is: 363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 653.46 = 263.74 : x
  2. Step 2: Convert to fraction form
    473.56/653.46 = 263.74/x
  3. Step 3: Cross multiply
    473.56x = 653.46 × 263.74
  4. Step 4: Simplify right side
    473.56x = 172,343.54
  5. Step 5: Solve for x
    x = 172,343.54/473.56
  6. Step 6: Final answer
    x = 363.93

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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.