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Finding the Fourth Proportional to 542.53, 813.66 and 388.63

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Solution

The fourth proportional to 542.53, 813.66 and 388.63 is: 582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.53 : 813.66 = 388.63 : x
  2. Step 2: Convert to fraction form
    542.53/813.66 = 388.63/x
  3. Step 3: Cross multiply
    542.53x = 813.66 × 388.63
  4. Step 4: Simplify right side
    542.53x = 316,212.69
  5. Step 5: Solve for x
    x = 316,212.69/542.53
  6. Step 6: Final answer
    x = 582.85

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