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Finding the Fourth Proportional to 473.33, 652.64 and 333.47

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Solution

The fourth proportional to 473.33, 652.64 and 333.47 is: 459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.33 : 652.64 = 333.47 : x
  2. Step 2: Convert to fraction form
    473.33/652.64 = 333.47/x
  3. Step 3: Cross multiply
    473.33x = 652.64 × 333.47
  4. Step 4: Simplify right side
    473.33x = 217,630.93
  5. Step 5: Solve for x
    x = 217,630.93/473.33
  6. Step 6: Final answer
    x = 459.79

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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.