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Finding the Fourth Proportional to 319.34, 440.52 and 214.45

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Solution

The fourth proportional to 319.34, 440.52 and 214.45 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.34 : 440.52 = 214.45 : x
  2. Step 2: Convert to fraction form
    319.34/440.52 = 214.45/x
  3. Step 3: Cross multiply
    319.34x = 440.52 × 214.45
  4. Step 4: Simplify right side
    319.34x = 94,468.81
  5. Step 5: Solve for x
    x = 94,468.81/319.34
  6. Step 6: Final answer
    x = 295.83

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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.