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Finding the Fourth Proportional to 394.85, 545.00 and 255.13

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Solution

The fourth proportional to 394.85, 545.00 and 255.13 is: 352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.85 : 545.00 = 255.13 : x
  2. Step 2: Convert to fraction form
    394.85/545.00 = 255.13/x
  3. Step 3: Cross multiply
    394.85x = 545.00 × 255.13
  4. Step 4: Simplify right side
    394.85x = 139,043.21
  5. Step 5: Solve for x
    x = 139,043.21/394.85
  6. Step 6: Final answer
    x = 352.14

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Why These Related Problems?

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