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Finding the Fourth Proportional to 473.35, 652.56 and 333.04

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Solution

The fourth proportional to 473.35, 652.56 and 333.04 is: 459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.35 : 652.56 = 333.04 : x
  2. Step 2: Convert to fraction form
    473.35/652.56 = 333.04/x
  3. Step 3: Cross multiply
    473.35x = 652.56 × 333.04
  4. Step 4: Simplify right side
    473.35x = 217,328.58
  5. Step 5: Solve for x
    x = 217,328.58/473.35
  6. Step 6: Final answer
    x = 459.13

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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.