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Finding the Fourth Proportional to 397.32, 596.02 and 123.34

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Solution

The fourth proportional to 397.32, 596.02 and 123.34 is: 185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.32 : 596.02 = 123.34 : x
  2. Step 2: Convert to fraction form
    397.32/596.02 = 123.34/x
  3. Step 3: Cross multiply
    397.32x = 596.02 × 123.34
  4. Step 4: Simplify right side
    397.32x = 73,509.51
  5. Step 5: Solve for x
    x = 73,509.51/397.32
  6. Step 6: Final answer
    x = 185.01

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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.