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Finding the Fourth Proportional to 542.16, 813.54 and 388.41

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Solution

The fourth proportional to 542.16, 813.54 and 388.41 is: 582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 813.54 = 388.41 : x
  2. Step 2: Convert to fraction form
    542.16/813.54 = 388.41/x
  3. Step 3: Cross multiply
    542.16x = 813.54 × 388.41
  4. Step 4: Simplify right side
    542.16x = 315,981.06
  5. Step 5: Solve for x
    x = 315,981.06/542.16
  6. Step 6: Final answer
    x = 582.82

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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.