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Finding the Fourth Proportional to 397.06, 595.62 and 191.72

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Solution

The fourth proportional to 397.06, 595.62 and 191.72 is: 287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.06 : 595.62 = 191.72 : x
  2. Step 2: Convert to fraction form
    397.06/595.62 = 191.72/x
  3. Step 3: Cross multiply
    397.06x = 595.62 × 191.72
  4. Step 4: Simplify right side
    397.06x = 114,193.76
  5. Step 5: Solve for x
    x = 114,193.76/397.06
  6. Step 6: Final answer
    x = 287.60

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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.