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Finding the Fourth Proportional to 320.52, 480.96 and 205.08

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Solution

The fourth proportional to 320.52, 480.96 and 205.08 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.52 : 480.96 = 205.08 : x
  2. Step 2: Convert to fraction form
    320.52/480.96 = 205.08/x
  3. Step 3: Cross multiply
    320.52x = 480.96 × 205.08
  4. Step 4: Simplify right side
    320.52x = 98,635.28
  5. Step 5: Solve for x
    x = 98,635.28/320.52
  6. Step 6: Final answer
    x = 307.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.