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Finding the Fourth Proportional to 545.70, 817.20 and 362.10

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Solution

The fourth proportional to 545.70, 817.20 and 362.10 is: 542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 817.20 = 362.10 : x
  2. Step 2: Convert to fraction form
    545.70/817.20 = 362.10/x
  3. Step 3: Cross multiply
    545.70x = 817.20 × 362.10
  4. Step 4: Simplify right side
    545.70x = 295,908.12
  5. Step 5: Solve for x
    x = 295,908.12/545.70
  6. Step 6: Final answer
    x = 542.25

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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.