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Finding the Fourth Proportional to 320.52, 482.82 and 318.90

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Solution

The fourth proportional to 320.52, 482.82 and 318.90 is: 480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.52 : 482.82 = 318.90 : x
  2. Step 2: Convert to fraction form
    320.52/482.82 = 318.90/x
  3. Step 3: Cross multiply
    320.52x = 482.82 × 318.90
  4. Step 4: Simplify right side
    320.52x = 153,971.30
  5. Step 5: Solve for x
    x = 153,971.30/320.52
  6. Step 6: Final answer
    x = 480.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.