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Finding the Fourth Proportional to 473.77, 653.84 and 263.99

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Solution

The fourth proportional to 473.77, 653.84 and 263.99 is: 364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.77 : 653.84 = 263.99 : x
  2. Step 2: Convert to fraction form
    473.77/653.84 = 263.99/x
  3. Step 3: Cross multiply
    473.77x = 653.84 × 263.99
  4. Step 4: Simplify right side
    473.77x = 172,604.61
  5. Step 5: Solve for x
    x = 172,604.61/473.77
  6. Step 6: Final answer
    x = 364.32

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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.