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Finding the Fourth Proportional to 381.47, 526.46 and 232.07

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Solution

The fourth proportional to 381.47, 526.46 and 232.07 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.47 : 526.46 = 232.07 : x
  2. Step 2: Convert to fraction form
    381.47/526.46 = 232.07/x
  3. Step 3: Cross multiply
    381.47x = 526.46 × 232.07
  4. Step 4: Simplify right side
    381.47x = 122,174.41
  5. Step 5: Solve for x
    x = 122,174.41/381.47
  6. Step 6: Final answer
    x = 320.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.