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Finding the Fourth Proportional to 545.69, 816.64 and 447.05

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Solution

The fourth proportional to 545.69, 816.64 and 447.05 is: 669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.69 : 816.64 = 447.05 : x
  2. Step 2: Convert to fraction form
    545.69/816.64 = 447.05/x
  3. Step 3: Cross multiply
    545.69x = 816.64 × 447.05
  4. Step 4: Simplify right side
    545.69x = 365,078.91
  5. Step 5: Solve for x
    x = 365,078.91/545.69
  6. Step 6: Final answer
    x = 669.02

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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.