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Finding the Fourth Proportional to 553.13, 830.30 and 539.76

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Solution

The fourth proportional to 553.13, 830.30 and 539.76 is: 810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.13 : 830.30 = 539.76 : x
  2. Step 2: Convert to fraction form
    553.13/830.30 = 539.76/x
  3. Step 3: Cross multiply
    553.13x = 830.30 × 539.76
  4. Step 4: Simplify right side
    553.13x = 448,162.73
  5. Step 5: Solve for x
    x = 448,162.73/553.13
  6. Step 6: Final answer
    x = 810.23

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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.