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Finding the Fourth Proportional to 436.14, 601.82 and 319.50

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Solution

The fourth proportional to 436.14, 601.82 and 319.50 is: 440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.14 : 601.82 = 319.50 : x
  2. Step 2: Convert to fraction form
    436.14/601.82 = 319.50/x
  3. Step 3: Cross multiply
    436.14x = 601.82 × 319.50
  4. Step 4: Simplify right side
    436.14x = 192,281.49
  5. Step 5: Solve for x
    x = 192,281.49/436.14
  6. Step 6: Final answer
    x = 440.87

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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.