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Finding the Fourth Proportional to 277.84, 417.44 and 175.33

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Solution

The fourth proportional to 277.84, 417.44 and 175.33 is: 263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.84 : 417.44 = 175.33 : x
  2. Step 2: Convert to fraction form
    277.84/417.44 = 175.33/x
  3. Step 3: Cross multiply
    277.84x = 417.44 × 175.33
  4. Step 4: Simplify right side
    277.84x = 73,189.76
  5. Step 5: Solve for x
    x = 73,189.76/277.84
  6. Step 6: Final answer
    x = 263.42

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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.