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Finding the Fourth Proportional to 584.14, 876.23 and 295.42

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Solution

The fourth proportional to 584.14, 876.23 and 295.42 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.14 : 876.23 = 295.42 : x
  2. Step 2: Convert to fraction form
    584.14/876.23 = 295.42/x
  3. Step 3: Cross multiply
    584.14x = 876.23 × 295.42
  4. Step 4: Simplify right side
    584.14x = 258,855.87
  5. Step 5: Solve for x
    x = 258,855.87/584.14
  6. Step 6: Final answer
    x = 443.14

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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.