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Finding the Fourth Proportional to 545.60, 817.41 and 459.47

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Solution

The fourth proportional to 545.60, 817.41 and 459.47 is: 688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.60 : 817.41 = 459.47 : x
  2. Step 2: Convert to fraction form
    545.60/817.41 = 459.47/x
  3. Step 3: Cross multiply
    545.60x = 817.41 × 459.47
  4. Step 4: Simplify right side
    545.60x = 375,571.29
  5. Step 5: Solve for x
    x = 375,571.29/545.60
  6. Step 6: Final answer
    x = 688.37

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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.