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Finding the Fourth Proportional to 427.37, 589.85 and 278.18

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Solution

The fourth proportional to 427.37, 589.85 and 278.18 is: 383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.37 : 589.85 = 278.18 : x
  2. Step 2: Convert to fraction form
    427.37/589.85 = 278.18/x
  3. Step 3: Cross multiply
    427.37x = 589.85 × 278.18
  4. Step 4: Simplify right side
    427.37x = 164,080.13
  5. Step 5: Solve for x
    x = 164,080.13/427.37
  6. Step 6: Final answer
    x = 383.93

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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.