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Finding the Fourth Proportional to 277.87, 383.24 and 259.24

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Solution

The fourth proportional to 277.87, 383.24 and 259.24 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.87 : 383.24 = 259.24 : x
  2. Step 2: Convert to fraction form
    277.87/383.24 = 259.24/x
  3. Step 3: Cross multiply
    277.87x = 383.24 × 259.24
  4. Step 4: Simplify right side
    277.87x = 99,347.93
  5. Step 5: Solve for x
    x = 99,347.93/277.87
  6. Step 6: Final answer
    x = 357.54

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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.