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Finding the Fourth Proportional to 545.30, 816.81 and 406.68

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Solution

The fourth proportional to 545.30, 816.81 and 406.68 is: 609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.30 : 816.81 = 406.68 : x
  2. Step 2: Convert to fraction form
    545.30/816.81 = 406.68/x
  3. Step 3: Cross multiply
    545.30x = 816.81 × 406.68
  4. Step 4: Simplify right side
    545.30x = 332,181.82
  5. Step 5: Solve for x
    x = 332,181.82/545.30
  6. Step 6: Final answer
    x = 609.17

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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.