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Finding the Fourth Proportional to 555.26, 764.54 and 475.98

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Solution

The fourth proportional to 555.26, 764.54 and 475.98 is: 655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 764.54 = 475.98 : x
  2. Step 2: Convert to fraction form
    555.26/764.54 = 475.98/x
  3. Step 3: Cross multiply
    555.26x = 764.54 × 475.98
  4. Step 4: Simplify right side
    555.26x = 363,905.75
  5. Step 5: Solve for x
    x = 363,905.75/555.26
  6. Step 6: Final answer
    x = 655.38

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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.