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Finding the Fourth Proportional to 382.60, 528.18 and 320.20

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Solution

The fourth proportional to 382.60, 528.18 and 320.20 is: 442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.60 : 528.18 = 320.20 : x
  2. Step 2: Convert to fraction form
    382.60/528.18 = 320.20/x
  3. Step 3: Cross multiply
    382.60x = 528.18 × 320.20
  4. Step 4: Simplify right side
    382.60x = 169,123.24
  5. Step 5: Solve for x
    x = 169,123.24/382.60
  6. Step 6: Final answer
    x = 442.04

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Why These Related Problems?

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