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Finding the Fourth Proportional to 555.21, 765.96 and 345.33

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Solution

The fourth proportional to 555.21, 765.96 and 345.33 is: 476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.21 : 765.96 = 345.33 : x
  2. Step 2: Convert to fraction form
    555.21/765.96 = 345.33/x
  3. Step 3: Cross multiply
    555.21x = 765.96 × 345.33
  4. Step 4: Simplify right side
    555.21x = 264,508.97
  5. Step 5: Solve for x
    x = 264,508.97/555.21
  6. Step 6: Final answer
    x = 476.41

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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.