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Finding the Fourth Proportional to 277.94, 414.62 and 258.29

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Solution

The fourth proportional to 277.94, 414.62 and 258.29 is: 385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.94 : 414.62 = 258.29 : x
  2. Step 2: Convert to fraction form
    277.94/414.62 = 258.29/x
  3. Step 3: Cross multiply
    277.94x = 414.62 × 258.29
  4. Step 4: Simplify right side
    277.94x = 107,088.84
  5. Step 5: Solve for x
    x = 107,088.84/277.94
  6. Step 6: Final answer
    x = 385.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.