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Finding the Fourth Proportional to 427.16, 640.08 and 210.48

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Solution

The fourth proportional to 427.16, 640.08 and 210.48 is: 315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.16 : 640.08 = 210.48 : x
  2. Step 2: Convert to fraction form
    427.16/640.08 = 210.48/x
  3. Step 3: Cross multiply
    427.16x = 640.08 × 210.48
  4. Step 4: Simplify right side
    427.16x = 134,724.04
  5. Step 5: Solve for x
    x = 134,724.04/427.16
  6. Step 6: Final answer
    x = 315.39

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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.