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Finding the Fourth Proportional to 595.31, 892.94 and 205.29

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Solution

The fourth proportional to 595.31, 892.94 and 205.29 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.31 : 892.94 = 205.29 : x
  2. Step 2: Convert to fraction form
    595.31/892.94 = 205.29/x
  3. Step 3: Cross multiply
    595.31x = 892.94 × 205.29
  4. Step 4: Simplify right side
    595.31x = 183,310.63
  5. Step 5: Solve for x
    x = 183,310.63/595.31
  6. Step 6: Final answer
    x = 307.93

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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.