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Finding the Fourth Proportional to 473.69, 653.65 and 263.83

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Solution

The fourth proportional to 473.69, 653.65 and 263.83 is: 364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.69 : 653.65 = 263.83 : x
  2. Step 2: Convert to fraction form
    473.69/653.65 = 263.83/x
  3. Step 3: Cross multiply
    473.69x = 653.65 × 263.83
  4. Step 4: Simplify right side
    473.69x = 172,450.19
  5. Step 5: Solve for x
    x = 172,450.19/473.69
  6. Step 6: Final answer
    x = 364.06

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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.