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Finding the Fourth Proportional to 362.94, 542.00 and 344.22

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Solution

The fourth proportional to 362.94, 542.00 and 344.22 is: 514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 542.00 = 344.22 : x
  2. Step 2: Convert to fraction form
    362.94/542.00 = 344.22/x
  3. Step 3: Cross multiply
    362.94x = 542.00 × 344.22
  4. Step 4: Simplify right side
    362.94x = 186,565.52
  5. Step 5: Solve for x
    x = 186,565.52/362.94
  6. Step 6: Final answer
    x = 514.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.