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Finding the Fourth Proportional to 277.96, 416.68 and 258.32

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Solution

The fourth proportional to 277.96, 416.68 and 258.32 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 416.68 = 258.32 : x
  2. Step 2: Convert to fraction form
    277.96/416.68 = 258.32/x
  3. Step 3: Cross multiply
    277.96x = 416.68 × 258.32
  4. Step 4: Simplify right side
    277.96x = 107,636.78
  5. Step 5: Solve for x
    x = 107,636.78/277.96
  6. Step 6: Final answer
    x = 387.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.