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Finding the Fourth Proportional to 477.67, 659.19 and 270.67

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Solution

The fourth proportional to 477.67, 659.19 and 270.67 is: 373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.67 : 659.19 = 270.67 : x
  2. Step 2: Convert to fraction form
    477.67/659.19 = 270.67/x
  3. Step 3: Cross multiply
    477.67x = 659.19 × 270.67
  4. Step 4: Simplify right side
    477.67x = 178,422.96
  5. Step 5: Solve for x
    x = 178,422.96/477.67
  6. Step 6: Final answer
    x = 373.53

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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.