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Finding the Fourth Proportional to 595.20, 892.80 and 205.23

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Solution

The fourth proportional to 595.20, 892.80 and 205.23 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.20 : 892.80 = 205.23 : x
  2. Step 2: Convert to fraction form
    595.20/892.80 = 205.23/x
  3. Step 3: Cross multiply
    595.20x = 892.80 × 205.23
  4. Step 4: Simplify right side
    595.20x = 183,232.11
  5. Step 5: Solve for x
    x = 183,232.11/595.20
  6. Step 6: Final answer
    x = 307.85

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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.