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Finding the Fourth Proportional to 376.69, 520.07 and 258.86

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Solution

The fourth proportional to 376.69, 520.07 and 258.86 is: 357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.69 : 520.07 = 258.86 : x
  2. Step 2: Convert to fraction form
    376.69/520.07 = 258.86/x
  3. Step 3: Cross multiply
    376.69x = 520.07 × 258.86
  4. Step 4: Simplify right side
    376.69x = 134,621.43
  5. Step 5: Solve for x
    x = 134,621.43/376.69
  6. Step 6: Final answer
    x = 357.38

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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.