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Finding the Fourth Proportional to 542.44, 812.58 and 380.44

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Solution

The fourth proportional to 542.44, 812.58 and 380.44 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 812.58 = 380.44 : x
  2. Step 2: Convert to fraction form
    542.44/812.58 = 380.44/x
  3. Step 3: Cross multiply
    542.44x = 812.58 × 380.44
  4. Step 4: Simplify right side
    542.44x = 309,137.94
  5. Step 5: Solve for x
    x = 309,137.94/542.44
  6. Step 6: Final answer
    x = 569.90

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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.