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Finding the Fourth Proportional to 545.58, 816.97 and 301.84

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Solution

The fourth proportional to 545.58, 816.97 and 301.84 is: 451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.58 : 816.97 = 301.84 : x
  2. Step 2: Convert to fraction form
    545.58/816.97 = 301.84/x
  3. Step 3: Cross multiply
    545.58x = 816.97 × 301.84
  4. Step 4: Simplify right side
    545.58x = 246,594.22
  5. Step 5: Solve for x
    x = 246,594.22/545.58
  6. Step 6: Final answer
    x = 451.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.