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Finding the Fourth Proportional to 438.69, 604.87 and 298.69

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Solution

The fourth proportional to 438.69, 604.87 and 298.69 is: 411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.69 : 604.87 = 298.69 : x
  2. Step 2: Convert to fraction form
    438.69/604.87 = 298.69/x
  3. Step 3: Cross multiply
    438.69x = 604.87 × 298.69
  4. Step 4: Simplify right side
    438.69x = 180,668.62
  5. Step 5: Solve for x
    x = 180,668.62/438.69
  6. Step 6: Final answer
    x = 411.84

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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.