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Finding the Fourth Proportional to 545.20, 816.60 and 437.20

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Solution

The fourth proportional to 545.20, 816.60 and 437.20 is: 654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.20 : 816.60 = 437.20 : x
  2. Step 2: Convert to fraction form
    545.20/816.60 = 437.20/x
  3. Step 3: Cross multiply
    545.20x = 816.60 × 437.20
  4. Step 4: Simplify right side
    545.20x = 357,017.52
  5. Step 5: Solve for x
    x = 357,017.52/545.20
  6. Step 6: Final answer
    x = 654.84

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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.