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Finding the Fourth Proportional to 553.70, 828.95 and 496.10

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Solution

The fourth proportional to 553.70, 828.95 and 496.10 is: 742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 828.95 = 496.10 : x
  2. Step 2: Convert to fraction form
    553.70/828.95 = 496.10/x
  3. Step 3: Cross multiply
    553.70x = 828.95 × 496.10
  4. Step 4: Simplify right side
    553.70x = 411,242.10
  5. Step 5: Solve for x
    x = 411,242.10/553.70
  6. Step 6: Final answer
    x = 742.72

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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.