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Finding the Fourth Proportional to 545.72, 817.62 and 409.08

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Solution

The fourth proportional to 545.72, 817.62 and 409.08 is: 612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.72 : 817.62 = 409.08 : x
  2. Step 2: Convert to fraction form
    545.72/817.62 = 409.08/x
  3. Step 3: Cross multiply
    545.72x = 817.62 × 409.08
  4. Step 4: Simplify right side
    545.72x = 334,471.99
  5. Step 5: Solve for x
    x = 334,471.99/545.72
  6. Step 6: Final answer
    x = 612.90

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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.