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Finding the Fourth Proportional to 567.18, 850.50 and 259.02

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Solution

The fourth proportional to 567.18, 850.50 and 259.02 is: 388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 850.50 = 259.02 : x
  2. Step 2: Convert to fraction form
    567.18/850.50 = 259.02/x
  3. Step 3: Cross multiply
    567.18x = 850.50 × 259.02
  4. Step 4: Simplify right side
    567.18x = 220,296.51
  5. Step 5: Solve for x
    x = 220,296.51/567.18
  6. Step 6: Final answer
    x = 388.41

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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.