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Finding the Fourth Proportional to 542.51, 812.39 and 298.77

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Solution

The fourth proportional to 542.51, 812.39 and 298.77 is: 447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.51 : 812.39 = 298.77 : x
  2. Step 2: Convert to fraction form
    542.51/812.39 = 298.77/x
  3. Step 3: Cross multiply
    542.51x = 812.39 × 298.77
  4. Step 4: Simplify right side
    542.51x = 242,716.27
  5. Step 5: Solve for x
    x = 242,716.27/542.51
  6. Step 6: Final answer
    x = 447.39

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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.