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Finding the Fourth Proportional to 545.94, 817.26 and 406.76

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Solution

The fourth proportional to 545.94, 817.26 and 406.76 is: 608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 817.26 = 406.76 : x
  2. Step 2: Convert to fraction form
    545.94/817.26 = 406.76/x
  3. Step 3: Cross multiply
    545.94x = 817.26 × 406.76
  4. Step 4: Simplify right side
    545.94x = 332,423.07
  5. Step 5: Solve for x
    x = 332,423.07/545.94
  6. Step 6: Final answer
    x = 608.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.