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Finding the Fourth Proportional to 594.23, 812.75 and 584.66

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Solution

The fourth proportional to 594.23, 812.75 and 584.66 is: 799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.23 : 812.75 = 584.66 : x
  2. Step 2: Convert to fraction form
    594.23/812.75 = 584.66/x
  3. Step 3: Cross multiply
    594.23x = 812.75 × 584.66
  4. Step 4: Simplify right side
    594.23x = 475,181.52
  5. Step 5: Solve for x
    x = 475,181.52/594.23
  6. Step 6: Final answer
    x = 799.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.