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Finding the Fourth Proportional to 595.22, 892.28 and 205.00

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Solution

The fourth proportional to 595.22, 892.28 and 205.00 is: 307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.22 : 892.28 = 205.00 : x
  2. Step 2: Convert to fraction form
    595.22/892.28 = 205.00/x
  3. Step 3: Cross multiply
    595.22x = 892.28 × 205.00
  4. Step 4: Simplify right side
    595.22x = 182,915.68
  5. Step 5: Solve for x
    x = 182,915.68/595.22
  6. Step 6: Final answer
    x = 307.31

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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.