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Finding the Fourth Proportional to 473.33, 708.75 and 327.53

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Solution

The fourth proportional to 473.33, 708.75 and 327.53 is: 490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.33 : 708.75 = 327.53 : x
  2. Step 2: Convert to fraction form
    473.33/708.75 = 327.53/x
  3. Step 3: Cross multiply
    473.33x = 708.75 × 327.53
  4. Step 4: Simplify right side
    473.33x = 232,133.34
  5. Step 5: Solve for x
    x = 232,133.34/473.33
  6. Step 6: Final answer
    x = 490.43

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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.