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Finding the Fourth Proportional to 553.23, 830.11 and 347.89

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Solution

The fourth proportional to 553.23, 830.11 and 347.89 is: 522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.23 : 830.11 = 347.89 : x
  2. Step 2: Convert to fraction form
    553.23/830.11 = 347.89/x
  3. Step 3: Cross multiply
    553.23x = 830.11 × 347.89
  4. Step 4: Simplify right side
    553.23x = 288,789.04
  5. Step 5: Solve for x
    x = 288,789.04/553.23
  6. Step 6: Final answer
    x = 522.01

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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.