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Finding the Fourth Proportional to 352.11, 525.30 and 311.10

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Solution

The fourth proportional to 352.11, 525.30 and 311.10 is: 464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.11 : 525.30 = 311.10 : x
  2. Step 2: Convert to fraction form
    352.11/525.30 = 311.10/x
  3. Step 3: Cross multiply
    352.11x = 525.30 × 311.10
  4. Step 4: Simplify right side
    352.11x = 163,420.83
  5. Step 5: Solve for x
    x = 163,420.83/352.11
  6. Step 6: Final answer
    x = 464.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.