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Finding the Fourth Proportional to 376.76, 565.16 and 214.60

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Solution

The fourth proportional to 376.76, 565.16 and 214.60 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.76 : 565.16 = 214.60 : x
  2. Step 2: Convert to fraction form
    376.76/565.16 = 214.60/x
  3. Step 3: Cross multiply
    376.76x = 565.16 × 214.60
  4. Step 4: Simplify right side
    376.76x = 121,283.34
  5. Step 5: Solve for x
    x = 121,283.34/376.76
  6. Step 6: Final answer
    x = 321.91

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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.