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Finding the Fourth Proportional to 473.69, 653.67 and 263.85

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Solution

The fourth proportional to 473.69, 653.67 and 263.85 is: 364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.69 : 653.67 = 263.85 : x
  2. Step 2: Convert to fraction form
    473.69/653.67 = 263.85/x
  3. Step 3: Cross multiply
    473.69x = 653.67 × 263.85
  4. Step 4: Simplify right side
    473.69x = 172,470.83
  5. Step 5: Solve for x
    x = 172,470.83/473.69
  6. Step 6: Final answer
    x = 364.10

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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.