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Finding the Fourth Proportional to 320.53, 480.83 and 89.42

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Solution

The fourth proportional to 320.53, 480.83 and 89.42 is: 134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.53 : 480.83 = 89.42 : x
  2. Step 2: Convert to fraction form
    320.53/480.83 = 89.42/x
  3. Step 3: Cross multiply
    320.53x = 480.83 × 89.42
  4. Step 4: Simplify right side
    320.53x = 42,995.82
  5. Step 5: Solve for x
    x = 42,995.82/320.53
  6. Step 6: Final answer
    x = 134.14

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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.