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Finding the Fourth Proportional to 427.16, 638.46 and 371.88

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Solution

The fourth proportional to 427.16, 638.46 and 371.88 is: 555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.16 : 638.46 = 371.88 : x
  2. Step 2: Convert to fraction form
    427.16/638.46 = 371.88/x
  3. Step 3: Cross multiply
    427.16x = 638.46 × 371.88
  4. Step 4: Simplify right side
    427.16x = 237,430.50
  5. Step 5: Solve for x
    x = 237,430.50/427.16
  6. Step 6: Final answer
    x = 555.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.