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Finding the Fourth Proportional to 342.76, 514.50 and 214.78

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Solution

The fourth proportional to 342.76, 514.50 and 214.78 is: 322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 514.50 = 214.78 : x
  2. Step 2: Convert to fraction form
    342.76/514.50 = 214.78/x
  3. Step 3: Cross multiply
    342.76x = 514.50 × 214.78
  4. Step 4: Simplify right side
    342.76x = 110,504.31
  5. Step 5: Solve for x
    x = 110,504.31/342.76
  6. Step 6: Final answer
    x = 322.40

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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.