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Finding the Fourth Proportional to 277.32, 412.71 and 268.32

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Solution

The fourth proportional to 277.32, 412.71 and 268.32 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 412.71 = 268.32 : x
  2. Step 2: Convert to fraction form
    277.32/412.71 = 268.32/x
  3. Step 3: Cross multiply
    277.32x = 412.71 × 268.32
  4. Step 4: Simplify right side
    277.32x = 110,738.35
  5. Step 5: Solve for x
    x = 110,738.35/277.32
  6. Step 6: Final answer
    x = 399.32

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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.