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Finding the Fourth Proportional to 545.08, 817.42 and 298.47

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Solution

The fourth proportional to 545.08, 817.42 and 298.47 is: 447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.08 : 817.42 = 298.47 : x
  2. Step 2: Convert to fraction form
    545.08/817.42 = 298.47/x
  3. Step 3: Cross multiply
    545.08x = 817.42 × 298.47
  4. Step 4: Simplify right side
    545.08x = 243,972.66
  5. Step 5: Solve for x
    x = 243,972.66/545.08
  6. Step 6: Final answer
    x = 447.59

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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.