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Finding the Fourth Proportional to 553.49, 830.18 and 206.75

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Solution

The fourth proportional to 553.49, 830.18 and 206.75 is: 310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.49 : 830.18 = 206.75 : x
  2. Step 2: Convert to fraction form
    553.49/830.18 = 206.75/x
  3. Step 3: Cross multiply
    553.49x = 830.18 × 206.75
  4. Step 4: Simplify right side
    553.49x = 171,634.53
  5. Step 5: Solve for x
    x = 171,634.53/553.49
  6. Step 6: Final answer
    x = 310.10

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Why These Related Problems?

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