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Finding the Fourth Proportional to 473.49, 653.42 and 263.66

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Solution

The fourth proportional to 473.49, 653.42 and 263.66 is: 363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 653.42 = 263.66 : x
  2. Step 2: Convert to fraction form
    473.49/653.42 = 263.66/x
  3. Step 3: Cross multiply
    473.49x = 653.42 × 263.66
  4. Step 4: Simplify right side
    473.49x = 172,276.13
  5. Step 5: Solve for x
    x = 172,276.13/473.49
  6. Step 6: Final answer
    x = 363.84

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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.