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Finding the Fourth Proportional to 567.87, 852.63 and 496.59

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Solution

The fourth proportional to 567.87, 852.63 and 496.59 is: 745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 852.63 = 496.59 : x
  2. Step 2: Convert to fraction form
    567.87/852.63 = 496.59/x
  3. Step 3: Cross multiply
    567.87x = 852.63 × 496.59
  4. Step 4: Simplify right side
    567.87x = 423,407.53
  5. Step 5: Solve for x
    x = 423,407.53/567.87
  6. Step 6: Final answer
    x = 745.61

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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.