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Finding the Fourth Proportional to 482.02, 665.08 and 285.60

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Solution

The fourth proportional to 482.02, 665.08 and 285.60 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.02 : 665.08 = 285.60 : x
  2. Step 2: Convert to fraction form
    482.02/665.08 = 285.60/x
  3. Step 3: Cross multiply
    482.02x = 665.08 × 285.60
  4. Step 4: Simplify right side
    482.02x = 189,946.85
  5. Step 5: Solve for x
    x = 189,946.85/482.02
  6. Step 6: Final answer
    x = 394.06

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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.