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Finding the Fourth Proportional to 595.31, 892.98 and 270.69

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Solution

The fourth proportional to 595.31, 892.98 and 270.69 is: 406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.31 : 892.98 = 270.69 : x
  2. Step 2: Convert to fraction form
    595.31/892.98 = 270.69/x
  3. Step 3: Cross multiply
    595.31x = 892.98 × 270.69
  4. Step 4: Simplify right side
    595.31x = 241,720.76
  5. Step 5: Solve for x
    x = 241,720.76/595.31
  6. Step 6: Final answer
    x = 406.05

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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.