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Finding the Fourth Proportional to 553.66, 830.85 and 280.06

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Solution

The fourth proportional to 553.66, 830.85 and 280.06 is: 420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.66 : 830.85 = 280.06 : x
  2. Step 2: Convert to fraction form
    553.66/830.85 = 280.06/x
  3. Step 3: Cross multiply
    553.66x = 830.85 × 280.06
  4. Step 4: Simplify right side
    553.66x = 232,687.85
  5. Step 5: Solve for x
    x = 232,687.85/553.66
  6. Step 6: Final answer
    x = 420.27

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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.