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Finding the Fourth Proportional to 394.93, 545.84 and 290.67

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Solution

The fourth proportional to 394.93, 545.84 and 290.67 is: 401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.93 : 545.84 = 290.67 : x
  2. Step 2: Convert to fraction form
    394.93/545.84 = 290.67/x
  3. Step 3: Cross multiply
    394.93x = 545.84 × 290.67
  4. Step 4: Simplify right side
    394.93x = 158,659.31
  5. Step 5: Solve for x
    x = 158,659.31/394.93
  6. Step 6: Final answer
    x = 401.74

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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.