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Finding the Fourth Proportional to 473.49, 653.35 and 263.67

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Solution

The fourth proportional to 473.49, 653.35 and 263.67 is: 363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 653.35 = 263.67 : x
  2. Step 2: Convert to fraction form
    473.49/653.35 = 263.67/x
  3. Step 3: Cross multiply
    473.49x = 653.35 × 263.67
  4. Step 4: Simplify right side
    473.49x = 172,268.79
  5. Step 5: Solve for x
    x = 172,268.79/473.49
  6. Step 6: Final answer
    x = 363.83

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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.