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Finding the Fourth Proportional to 380.06, 569.10 and 325.56

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Solution

The fourth proportional to 380.06, 569.10 and 325.56 is: 487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 569.10 = 325.56 : x
  2. Step 2: Convert to fraction form
    380.06/569.10 = 325.56/x
  3. Step 3: Cross multiply
    380.06x = 569.10 × 325.56
  4. Step 4: Simplify right side
    380.06x = 185,278.33
  5. Step 5: Solve for x
    x = 185,278.33/380.06
  6. Step 6: Final answer
    x = 487.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.