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Finding the Fourth Proportional to 397.02, 595.47 and 123.06

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Solution

The fourth proportional to 397.02, 595.47 and 123.06 is: 184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.02 : 595.47 = 123.06 : x
  2. Step 2: Convert to fraction form
    397.02/595.47 = 123.06/x
  3. Step 3: Cross multiply
    397.02x = 595.47 × 123.06
  4. Step 4: Simplify right side
    397.02x = 73,278.54
  5. Step 5: Solve for x
    x = 73,278.54/397.02
  6. Step 6: Final answer
    x = 184.57

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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.