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Finding the Fourth Proportional to 567.56, 852.91 and 496.15

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Solution

The fourth proportional to 567.56, 852.91 and 496.15 is: 745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.56 : 852.91 = 496.15 : x
  2. Step 2: Convert to fraction form
    567.56/852.91 = 496.15/x
  3. Step 3: Cross multiply
    567.56x = 852.91 × 496.15
  4. Step 4: Simplify right side
    567.56x = 423,167.92
  5. Step 5: Solve for x
    x = 423,167.92/567.56
  6. Step 6: Final answer
    x = 745.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.