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Finding the Fourth Proportional to 319.40, 440.90 and 214.54

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Solution

The fourth proportional to 319.40, 440.90 and 214.54 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.40 : 440.90 = 214.54 : x
  2. Step 2: Convert to fraction form
    319.40/440.90 = 214.54/x
  3. Step 3: Cross multiply
    319.40x = 440.90 × 214.54
  4. Step 4: Simplify right side
    319.40x = 94,590.69
  5. Step 5: Solve for x
    x = 94,590.69/319.40
  6. Step 6: Final answer
    x = 296.15

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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.