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Finding the Fourth Proportional to 477.06, 716.12 and 333.42

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Solution

The fourth proportional to 477.06, 716.12 and 333.42 is: 500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 716.12 = 333.42 : x
  2. Step 2: Convert to fraction form
    477.06/716.12 = 333.42/x
  3. Step 3: Cross multiply
    477.06x = 716.12 × 333.42
  4. Step 4: Simplify right side
    477.06x = 238,768.73
  5. Step 5: Solve for x
    x = 238,768.73/477.06
  6. Step 6: Final answer
    x = 500.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.