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Finding the Fourth Proportional to 550.97, 824.84 and 307.16

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Solution

The fourth proportional to 550.97, 824.84 and 307.16 is: 459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.97 : 824.84 = 307.16 : x
  2. Step 2: Convert to fraction form
    550.97/824.84 = 307.16/x
  3. Step 3: Cross multiply
    550.97x = 824.84 × 307.16
  4. Step 4: Simplify right side
    550.97x = 253,356.32
  5. Step 5: Solve for x
    x = 253,356.32/550.97
  6. Step 6: Final answer
    x = 459.84

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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.