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Finding the Fourth Proportional to 397.05, 595.67 and 123.13

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Solution

The fourth proportional to 397.05, 595.67 and 123.13 is: 184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.05 : 595.67 = 123.13 : x
  2. Step 2: Convert to fraction form
    397.05/595.67 = 123.13/x
  3. Step 3: Cross multiply
    397.05x = 595.67 × 123.13
  4. Step 4: Simplify right side
    397.05x = 73,343.99
  5. Step 5: Solve for x
    x = 73,343.99/397.05
  6. Step 6: Final answer
    x = 184.72

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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.