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Finding the Fourth Proportional to 352.35, 525.93 and 311.34

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Solution

The fourth proportional to 352.35, 525.93 and 311.34 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.35 : 525.93 = 311.34 : x
  2. Step 2: Convert to fraction form
    352.35/525.93 = 311.34/x
  3. Step 3: Cross multiply
    352.35x = 525.93 × 311.34
  4. Step 4: Simplify right side
    352.35x = 163,743.05
  5. Step 5: Solve for x
    x = 163,743.05/352.35
  6. Step 6: Final answer
    x = 464.72

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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.