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Finding the Fourth Proportional to 555.36, 764.16 and 461.28

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Solution

The fourth proportional to 555.36, 764.16 and 461.28 is: 634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.36 : 764.16 = 461.28 : x
  2. Step 2: Convert to fraction form
    555.36/764.16 = 461.28/x
  3. Step 3: Cross multiply
    555.36x = 764.16 × 461.28
  4. Step 4: Simplify right side
    555.36x = 352,491.72
  5. Step 5: Solve for x
    x = 352,491.72/555.36
  6. Step 6: Final answer
    x = 634.71

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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.