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Finding the Fourth Proportional to 482.18, 665.42 and 285.70

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Solution

The fourth proportional to 482.18, 665.42 and 285.70 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.18 : 665.42 = 285.70 : x
  2. Step 2: Convert to fraction form
    482.18/665.42 = 285.70/x
  3. Step 3: Cross multiply
    482.18x = 665.42 × 285.70
  4. Step 4: Simplify right side
    482.18x = 190,109.54
  5. Step 5: Solve for x
    x = 190,109.54/482.18
  6. Step 6: Final answer
    x = 394.27

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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.