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Finding the Fourth Proportional to 397.39, 596.08 and 177.96

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Solution

The fourth proportional to 397.39, 596.08 and 177.96 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.39 : 596.08 = 177.96 : x
  2. Step 2: Convert to fraction form
    397.39/596.08 = 177.96/x
  3. Step 3: Cross multiply
    397.39x = 596.08 × 177.96
  4. Step 4: Simplify right side
    397.39x = 106,075.42
  5. Step 5: Solve for x
    x = 106,075.42/397.39
  6. Step 6: Final answer
    x = 266.93

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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.