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Finding the Fourth Proportional to 590.99, 884.93 and 395.67

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Solution

The fourth proportional to 590.99, 884.93 and 395.67 is: 592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.99 : 884.93 = 395.67 : x
  2. Step 2: Convert to fraction form
    590.99/884.93 = 395.67/x
  3. Step 3: Cross multiply
    590.99x = 884.93 × 395.67
  4. Step 4: Simplify right side
    590.99x = 350,138.27
  5. Step 5: Solve for x
    x = 350,138.27/590.99
  6. Step 6: Final answer
    x = 592.47

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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.