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Finding the Fourth Proportional to 437.02, 654.60 and 206.10

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Solution

The fourth proportional to 437.02, 654.60 and 206.10 is: 308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.02 : 654.60 = 206.10 : x
  2. Step 2: Convert to fraction form
    437.02/654.60 = 206.10/x
  3. Step 3: Cross multiply
    437.02x = 654.60 × 206.10
  4. Step 4: Simplify right side
    437.02x = 134,913.06
  5. Step 5: Solve for x
    x = 134,913.06/437.02
  6. Step 6: Final answer
    x = 308.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.