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Finding the Fourth Proportional to 550.15, 823.60 and 477.25

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Solution

The fourth proportional to 550.15, 823.60 and 477.25 is: 714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.15 : 823.60 = 477.25 : x
  2. Step 2: Convert to fraction form
    550.15/823.60 = 477.25/x
  3. Step 3: Cross multiply
    550.15x = 823.60 × 477.25
  4. Step 4: Simplify right side
    550.15x = 393,063.10
  5. Step 5: Solve for x
    x = 393,063.10/550.15
  6. Step 6: Final answer
    x = 714.47

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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.