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Finding the Fourth Proportional to 320.34, 480.64 and 115.06

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Solution

The fourth proportional to 320.34, 480.64 and 115.06 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.34 : 480.64 = 115.06 : x
  2. Step 2: Convert to fraction form
    320.34/480.64 = 115.06/x
  3. Step 3: Cross multiply
    320.34x = 480.64 × 115.06
  4. Step 4: Simplify right side
    320.34x = 55,302.44
  5. Step 5: Solve for x
    x = 55,302.44/320.34
  6. Step 6: Final answer
    x = 172.64

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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.