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Finding the Fourth Proportional to 380.20, 521.26 and 373.26

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Solution

The fourth proportional to 380.20, 521.26 and 373.26 is: 511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 521.26 = 373.26 : x
  2. Step 2: Convert to fraction form
    380.20/521.26 = 373.26/x
  3. Step 3: Cross multiply
    380.20x = 521.26 × 373.26
  4. Step 4: Simplify right side
    380.20x = 194,565.51
  5. Step 5: Solve for x
    x = 194,565.51/380.20
  6. Step 6: Final answer
    x = 511.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.