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Finding the Fourth Proportional to 567.62, 851.60 and 293.90

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Solution

The fourth proportional to 567.62, 851.60 and 293.90 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.62 : 851.60 = 293.90 : x
  2. Step 2: Convert to fraction form
    567.62/851.60 = 293.90/x
  3. Step 3: Cross multiply
    567.62x = 851.60 × 293.90
  4. Step 4: Simplify right side
    567.62x = 250,285.90
  5. Step 5: Solve for x
    x = 250,285.90/567.62
  6. Step 6: Final answer
    x = 440.94

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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.