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Finding the Fourth Proportional to 482.16, 665.14 and 285.60

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Solution

The fourth proportional to 482.16, 665.14 and 285.60 is: 393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 665.14 = 285.60 : x
  2. Step 2: Convert to fraction form
    482.16/665.14 = 285.60/x
  3. Step 3: Cross multiply
    482.16x = 665.14 × 285.60
  4. Step 4: Simplify right side
    482.16x = 189,963.98
  5. Step 5: Solve for x
    x = 189,963.98/482.16
  6. Step 6: Final answer
    x = 393.99

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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.