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Finding the Fourth Proportional to 277.04, 412.81 and 263.94

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Solution

The fourth proportional to 277.04, 412.81 and 263.94 is: 393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.04 : 412.81 = 263.94 : x
  2. Step 2: Convert to fraction form
    277.04/412.81 = 263.94/x
  3. Step 3: Cross multiply
    277.04x = 412.81 × 263.94
  4. Step 4: Simplify right side
    277.04x = 108,957.07
  5. Step 5: Solve for x
    x = 108,957.07/277.04
  6. Step 6: Final answer
    x = 393.29

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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.