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Finding the Fourth Proportional to 553.70, 830.64 and 207.13

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Solution

The fourth proportional to 553.70, 830.64 and 207.13 is: 310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 830.64 = 207.13 : x
  2. Step 2: Convert to fraction form
    553.70/830.64 = 207.13/x
  3. Step 3: Cross multiply
    553.70x = 830.64 × 207.13
  4. Step 4: Simplify right side
    553.70x = 172,050.46
  5. Step 5: Solve for x
    x = 172,050.46/553.70
  6. Step 6: Final answer
    x = 310.73

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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.