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Finding the Fourth Proportional to 473.79, 654.03 and 333.93

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Solution

The fourth proportional to 473.79, 654.03 and 333.93 is: 460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.79 : 654.03 = 333.93 : x
  2. Step 2: Convert to fraction form
    473.79/654.03 = 333.93/x
  3. Step 3: Cross multiply
    473.79x = 654.03 × 333.93
  4. Step 4: Simplify right side
    473.79x = 218,400.24
  5. Step 5: Solve for x
    x = 218,400.24/473.79
  6. Step 6: Final answer
    x = 460.96

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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.