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Finding the Fourth Proportional to 336.34, 464.63 and 320.14

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Solution

The fourth proportional to 336.34, 464.63 and 320.14 is: 442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.34 : 464.63 = 320.14 : x
  2. Step 2: Convert to fraction form
    336.34/464.63 = 320.14/x
  3. Step 3: Cross multiply
    336.34x = 464.63 × 320.14
  4. Step 4: Simplify right side
    336.34x = 148,745.05
  5. Step 5: Solve for x
    x = 148,745.05/336.34
  6. Step 6: Final answer
    x = 442.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.