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Finding the Fourth Proportional to 365.62, 504.52 and 206.10

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Solution

The fourth proportional to 365.62, 504.52 and 206.10 is: 284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.62 : 504.52 = 206.10 : x
  2. Step 2: Convert to fraction form
    365.62/504.52 = 206.10/x
  3. Step 3: Cross multiply
    365.62x = 504.52 × 206.10
  4. Step 4: Simplify right side
    365.62x = 103,979.05
  5. Step 5: Solve for x
    x = 103,979.05/365.62
  6. Step 6: Final answer
    x = 284.39

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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.