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Finding the Fourth Proportional to 506.03, 758.46 and 232.07

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Solution

The fourth proportional to 506.03, 758.46 and 232.07 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.03 : 758.46 = 232.07 : x
  2. Step 2: Convert to fraction form
    506.03/758.46 = 232.07/x
  3. Step 3: Cross multiply
    506.03x = 758.46 × 232.07
  4. Step 4: Simplify right side
    506.03x = 176,015.81
  5. Step 5: Solve for x
    x = 176,015.81/506.03
  6. Step 6: Final answer
    x = 347.84

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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.