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Finding the Fourth Proportional to 377.88, 521.69 and 259.93

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Solution

The fourth proportional to 377.88, 521.69 and 259.93 is: 358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.88 : 521.69 = 259.93 : x
  2. Step 2: Convert to fraction form
    377.88/521.69 = 259.93/x
  3. Step 3: Cross multiply
    377.88x = 521.69 × 259.93
  4. Step 4: Simplify right side
    377.88x = 135,602.88
  5. Step 5: Solve for x
    x = 135,602.88/377.88
  6. Step 6: Final answer
    x = 358.85

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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.