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Finding the Fourth Proportional to 427.77, 588.77 and 372.18

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Solution

The fourth proportional to 427.77, 588.77 and 372.18 is: 512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.77 : 588.77 = 372.18 : x
  2. Step 2: Convert to fraction form
    427.77/588.77 = 372.18/x
  3. Step 3: Cross multiply
    427.77x = 588.77 × 372.18
  4. Step 4: Simplify right side
    427.77x = 219,126.56
  5. Step 5: Solve for x
    x = 219,126.56/427.77
  6. Step 6: Final answer
    x = 512.25

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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.