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Finding the Fourth Proportional to 473.35, 653.23 and 263.56

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Solution

The fourth proportional to 473.35, 653.23 and 263.56 is: 363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.35 : 653.23 = 263.56 : x
  2. Step 2: Convert to fraction form
    473.35/653.23 = 263.56/x
  3. Step 3: Cross multiply
    473.35x = 653.23 × 263.56
  4. Step 4: Simplify right side
    473.35x = 172,165.30
  5. Step 5: Solve for x
    x = 172,165.30/473.35
  6. Step 6: Final answer
    x = 363.72

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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.