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Finding the Fourth Proportional to 427.12, 589.70 and 277.88

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Solution

The fourth proportional to 427.12, 589.70 and 277.88 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 589.70 = 277.88 : x
  2. Step 2: Convert to fraction form
    427.12/589.70 = 277.88/x
  3. Step 3: Cross multiply
    427.12x = 589.70 × 277.88
  4. Step 4: Simplify right side
    427.12x = 163,865.84
  5. Step 5: Solve for x
    x = 163,865.84/427.12
  6. Step 6: Final answer
    x = 383.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.