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Finding the Fourth Proportional to 473.86, 653.24 and 333.55

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Solution

The fourth proportional to 473.86, 653.24 and 333.55 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.86 : 653.24 = 333.55 : x
  2. Step 2: Convert to fraction form
    473.86/653.24 = 333.55/x
  3. Step 3: Cross multiply
    473.86x = 653.24 × 333.55
  4. Step 4: Simplify right side
    473.86x = 217,888.20
  5. Step 5: Solve for x
    x = 217,888.20/473.86
  6. Step 6: Final answer
    x = 459.82

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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.