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Finding the Fourth Proportional to 380.50, 525.05 and 233.10

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Solution

The fourth proportional to 380.50, 525.05 and 233.10 is: 321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.50 : 525.05 = 233.10 : x
  2. Step 2: Convert to fraction form
    380.50/525.05 = 233.10/x
  3. Step 3: Cross multiply
    380.50x = 525.05 × 233.10
  4. Step 4: Simplify right side
    380.50x = 122,389.16
  5. Step 5: Solve for x
    x = 122,389.16/380.50
  6. Step 6: Final answer
    x = 321.65

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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.