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Finding the Fourth Proportional to 380.15, 568.51 and 339.25

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Solution

The fourth proportional to 380.15, 568.51 and 339.25 is: 507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.15 : 568.51 = 339.25 : x
  2. Step 2: Convert to fraction form
    380.15/568.51 = 339.25/x
  3. Step 3: Cross multiply
    380.15x = 568.51 × 339.25
  4. Step 4: Simplify right side
    380.15x = 192,867.02
  5. Step 5: Solve for x
    x = 192,867.02/380.15
  6. Step 6: Final answer
    x = 507.34

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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.