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Finding the Fourth Proportional to 438.06, 604.38 and 270.07

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Solution

The fourth proportional to 438.06, 604.38 and 270.07 is: 372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 604.38 = 270.07 : x
  2. Step 2: Convert to fraction form
    438.06/604.38 = 270.07/x
  3. Step 3: Cross multiply
    438.06x = 604.38 × 270.07
  4. Step 4: Simplify right side
    438.06x = 163,224.91
  5. Step 5: Solve for x
    x = 163,224.91/438.06
  6. Step 6: Final answer
    x = 372.61

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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.