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Finding the Fourth Proportional to 567.06, 850.74 and 274.70

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Solution

The fourth proportional to 567.06, 850.74 and 274.70 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.06 : 850.74 = 274.70 : x
  2. Step 2: Convert to fraction form
    567.06/850.74 = 274.70/x
  3. Step 3: Cross multiply
    567.06x = 850.74 × 274.70
  4. Step 4: Simplify right side
    567.06x = 233,699.72
  5. Step 5: Solve for x
    x = 233,699.72/567.06
  6. Step 6: Final answer
    x = 412.12

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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.