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Finding the Fourth Proportional to 545.26, 816.27 and 362.02

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Solution

The fourth proportional to 545.26, 816.27 and 362.02 is: 541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.26 : 816.27 = 362.02 : x
  2. Step 2: Convert to fraction form
    545.26/816.27 = 362.02/x
  3. Step 3: Cross multiply
    545.26x = 816.27 × 362.02
  4. Step 4: Simplify right side
    545.26x = 295,506.07
  5. Step 5: Solve for x
    x = 295,506.07/545.26
  6. Step 6: Final answer
    x = 541.95

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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.