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Finding the Fourth Proportional to 545.28, 817.14 and 298.26

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Solution

The fourth proportional to 545.28, 817.14 and 298.26 is: 446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.28 : 817.14 = 298.26 : x
  2. Step 2: Convert to fraction form
    545.28/817.14 = 298.26/x
  3. Step 3: Cross multiply
    545.28x = 817.14 × 298.26
  4. Step 4: Simplify right side
    545.28x = 243,720.18
  5. Step 5: Solve for x
    x = 243,720.18/545.28
  6. Step 6: Final answer
    x = 446.96

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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.