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Finding the Fourth Proportional to 392.52, 540.83 and 322.34

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Solution

The fourth proportional to 392.52, 540.83 and 322.34 is: 444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.52 : 540.83 = 322.34 : x
  2. Step 2: Convert to fraction form
    392.52/540.83 = 322.34/x
  3. Step 3: Cross multiply
    392.52x = 540.83 × 322.34
  4. Step 4: Simplify right side
    392.52x = 174,331.14
  5. Step 5: Solve for x
    x = 174,331.14/392.52
  6. Step 6: Final answer
    x = 444.13

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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.