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Finding the Fourth Proportional to 553.95, 830.93 and 207.20

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Solution

The fourth proportional to 553.95, 830.93 and 207.20 is: 310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.95 : 830.93 = 207.20 : x
  2. Step 2: Convert to fraction form
    553.95/830.93 = 207.20/x
  3. Step 3: Cross multiply
    553.95x = 830.93 × 207.20
  4. Step 4: Simplify right side
    553.95x = 172,168.70
  5. Step 5: Solve for x
    x = 172,168.70/553.95
  6. Step 6: Final answer
    x = 310.80

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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.