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Finding the Fourth Proportional to 427.88, 589.48 and 404.80

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Solution

The fourth proportional to 427.88, 589.48 and 404.80 is: 557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.88 : 589.48 = 404.80 : x
  2. Step 2: Convert to fraction form
    427.88/589.48 = 404.80/x
  3. Step 3: Cross multiply
    427.88x = 589.48 × 404.80
  4. Step 4: Simplify right side
    427.88x = 238,619.02
  5. Step 5: Solve for x
    x = 238,619.02/427.88
  6. Step 6: Final answer
    x = 557.67

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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.