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Finding the Fourth Proportional to 312.02, 430.38 and 201.32

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Solution

The fourth proportional to 312.02, 430.38 and 201.32 is: 277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.02 : 430.38 = 201.32 : x
  2. Step 2: Convert to fraction form
    312.02/430.38 = 201.32/x
  3. Step 3: Cross multiply
    312.02x = 430.38 × 201.32
  4. Step 4: Simplify right side
    312.02x = 86,641.95
  5. Step 5: Solve for x
    x = 86,641.95/312.02
  6. Step 6: Final answer
    x = 277.69

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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.