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Finding the Fourth Proportional to 567.66, 850.46 and 259.77

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Solution

The fourth proportional to 567.66, 850.46 and 259.77 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.66 : 850.46 = 259.77 : x
  2. Step 2: Convert to fraction form
    567.66/850.46 = 259.77/x
  3. Step 3: Cross multiply
    567.66x = 850.46 × 259.77
  4. Step 4: Simplify right side
    567.66x = 220,923.99
  5. Step 5: Solve for x
    x = 220,923.99/567.66
  6. Step 6: Final answer
    x = 389.18

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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.