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Finding the Fourth Proportional to 473.30, 652.01 and 333.13

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Solution

The fourth proportional to 473.30, 652.01 and 333.13 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 652.01 = 333.13 : x
  2. Step 2: Convert to fraction form
    473.30/652.01 = 333.13/x
  3. Step 3: Cross multiply
    473.30x = 652.01 × 333.13
  4. Step 4: Simplify right side
    473.30x = 217,204.09
  5. Step 5: Solve for x
    x = 217,204.09/473.30
  6. Step 6: Final answer
    x = 458.91

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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.