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Finding the Fourth Proportional to 567.52, 851.26 and 423.34

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Solution

The fourth proportional to 567.52, 851.26 and 423.34 is: 635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.52 : 851.26 = 423.34 : x
  2. Step 2: Convert to fraction form
    567.52/851.26 = 423.34/x
  3. Step 3: Cross multiply
    567.52x = 851.26 × 423.34
  4. Step 4: Simplify right side
    567.52x = 360,372.41
  5. Step 5: Solve for x
    x = 360,372.41/567.52
  6. Step 6: Final answer
    x = 635.00

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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.