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Finding the Fourth Proportional to 545.94, 752.85 and 379.98

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Solution

The fourth proportional to 545.94, 752.85 and 379.98 is: 523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 752.85 = 379.98 : x
  2. Step 2: Convert to fraction form
    545.94/752.85 = 379.98/x
  3. Step 3: Cross multiply
    545.94x = 752.85 × 379.98
  4. Step 4: Simplify right side
    545.94x = 286,067.94
  5. Step 5: Solve for x
    x = 286,067.94/545.94
  6. Step 6: Final answer
    x = 523.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.