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Finding the Fourth Proportional to 381.00, 525.49 and 302.23

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Solution

The fourth proportional to 381.00, 525.49 and 302.23 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.00 : 525.49 = 302.23 : x
  2. Step 2: Convert to fraction form
    381.00/525.49 = 302.23/x
  3. Step 3: Cross multiply
    381.00x = 525.49 × 302.23
  4. Step 4: Simplify right side
    381.00x = 158,818.74
  5. Step 5: Solve for x
    x = 158,818.74/381.00
  6. Step 6: Final answer
    x = 416.84

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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.