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Finding the Fourth Proportional to 310.78, 465.36 and 214.48

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Solution

The fourth proportional to 310.78, 465.36 and 214.48 is: 321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.78 : 465.36 = 214.48 : x
  2. Step 2: Convert to fraction form
    310.78/465.36 = 214.48/x
  3. Step 3: Cross multiply
    310.78x = 465.36 × 214.48
  4. Step 4: Simplify right side
    310.78x = 99,810.41
  5. Step 5: Solve for x
    x = 99,810.41/310.78
  6. Step 6: Final answer
    x = 321.16

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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.