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Finding the Fourth Proportional to 377.69, 521.45 and 259.86

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Solution

The fourth proportional to 377.69, 521.45 and 259.86 is: 358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.69 : 521.45 = 259.86 : x
  2. Step 2: Convert to fraction form
    377.69/521.45 = 259.86/x
  3. Step 3: Cross multiply
    377.69x = 521.45 × 259.86
  4. Step 4: Simplify right side
    377.69x = 135,504.00
  5. Step 5: Solve for x
    x = 135,504.00/377.69
  6. Step 6: Final answer
    x = 358.77

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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.