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Finding the Fourth Proportional to 381.20, 525.90 and 302.53

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Solution

The fourth proportional to 381.20, 525.90 and 302.53 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 525.90 = 302.53 : x
  2. Step 2: Convert to fraction form
    381.20/525.90 = 302.53/x
  3. Step 3: Cross multiply
    381.20x = 525.90 × 302.53
  4. Step 4: Simplify right side
    381.20x = 159,100.53
  5. Step 5: Solve for x
    x = 159,100.53/381.20
  6. Step 6: Final answer
    x = 417.37

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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.