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Finding the Fourth Proportional to 319.34, 440.83 and 214.50

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Solution

The fourth proportional to 319.34, 440.83 and 214.50 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.34 : 440.83 = 214.50 : x
  2. Step 2: Convert to fraction form
    319.34/440.83 = 214.50/x
  3. Step 3: Cross multiply
    319.34x = 440.83 × 214.50
  4. Step 4: Simplify right side
    319.34x = 94,555.29
  5. Step 5: Solve for x
    x = 94,555.29/319.34
  6. Step 6: Final answer
    x = 296.10

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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.