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Finding the Fourth Proportional to 595.57, 893.43 and 205.47

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Solution

The fourth proportional to 595.57, 893.43 and 205.47 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.57 : 893.43 = 205.47 : x
  2. Step 2: Convert to fraction form
    595.57/893.43 = 205.47/x
  3. Step 3: Cross multiply
    595.57x = 893.43 × 205.47
  4. Step 4: Simplify right side
    595.57x = 183,573.06
  5. Step 5: Solve for x
    x = 183,573.06/595.57
  6. Step 6: Final answer
    x = 308.23

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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.