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Finding the Fourth Proportional to 473.67, 653.63 and 263.83

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Solution

The fourth proportional to 473.67, 653.63 and 263.83 is: 364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.67 : 653.63 = 263.83 : x
  2. Step 2: Convert to fraction form
    473.67/653.63 = 263.83/x
  3. Step 3: Cross multiply
    473.67x = 653.63 × 263.83
  4. Step 4: Simplify right side
    473.67x = 172,446.41
  5. Step 5: Solve for x
    x = 172,446.41/473.67
  6. Step 6: Final answer
    x = 364.07

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Why These Related Problems?

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