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Finding the Fourth Proportional to 427.97, 590.67 and 270.69

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Solution

The fourth proportional to 427.97, 590.67 and 270.69 is: 373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.97 : 590.67 = 270.69 : x
  2. Step 2: Convert to fraction form
    427.97/590.67 = 270.69/x
  3. Step 3: Cross multiply
    427.97x = 590.67 × 270.69
  4. Step 4: Simplify right side
    427.97x = 159,888.46
  5. Step 5: Solve for x
    x = 159,888.46/427.97
  6. Step 6: Final answer
    x = 373.60

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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.