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Finding the Fourth Proportional to 553.64, 830.48 and 206.94

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Solution

The fourth proportional to 553.64, 830.48 and 206.94 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 830.48 = 206.94 : x
  2. Step 2: Convert to fraction form
    553.64/830.48 = 206.94/x
  3. Step 3: Cross multiply
    553.64x = 830.48 × 206.94
  4. Step 4: Simplify right side
    553.64x = 171,855.19
  5. Step 5: Solve for x
    x = 171,855.19/553.64
  6. Step 6: Final answer
    x = 310.41

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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.