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Finding the Fourth Proportional to 277.70, 382.38 and 258.57

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Solution

The fourth proportional to 277.70, 382.38 and 258.57 is: 356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 382.38 = 258.57 : x
  2. Step 2: Convert to fraction form
    277.70/382.38 = 258.57/x
  3. Step 3: Cross multiply
    277.70x = 382.38 × 258.57
  4. Step 4: Simplify right side
    277.70x = 98,871.77
  5. Step 5: Solve for x
    x = 98,871.77/277.70
  6. Step 6: Final answer
    x = 356.03

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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.