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Finding the Fourth Proportional to 380.38, 525.81 and 339.34

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Solution

The fourth proportional to 380.38, 525.81 and 339.34 is: 469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 525.81 = 339.34 : x
  2. Step 2: Convert to fraction form
    380.38/525.81 = 339.34/x
  3. Step 3: Cross multiply
    380.38x = 525.81 × 339.34
  4. Step 4: Simplify right side
    380.38x = 178,428.37
  5. Step 5: Solve for x
    x = 178,428.37/380.38
  6. Step 6: Final answer
    x = 469.08

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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.