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Finding the Fourth Proportional to 473.47, 653.34 and 263.62

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Solution

The fourth proportional to 473.47, 653.34 and 263.62 is: 363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.47 : 653.34 = 263.62 : x
  2. Step 2: Convert to fraction form
    473.47/653.34 = 263.62/x
  3. Step 3: Cross multiply
    473.47x = 653.34 × 263.62
  4. Step 4: Simplify right side
    473.47x = 172,228.91
  5. Step 5: Solve for x
    x = 172,228.91/473.47
  6. Step 6: Final answer
    x = 363.76

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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.