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Finding the Fourth Proportional to 381.24, 525.96 and 332.10

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Solution

The fourth proportional to 381.24, 525.96 and 332.10 is: 458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 525.96 = 332.10 : x
  2. Step 2: Convert to fraction form
    381.24/525.96 = 332.10/x
  3. Step 3: Cross multiply
    381.24x = 525.96 × 332.10
  4. Step 4: Simplify right side
    381.24x = 174,671.32
  5. Step 5: Solve for x
    x = 174,671.32/381.24
  6. Step 6: Final answer
    x = 458.17

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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.