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Finding the Fourth Proportional to 590.69, 812.84 and 550.60

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Solution

The fourth proportional to 590.69, 812.84 and 550.60 is: 757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 812.84 = 550.60 : x
  2. Step 2: Convert to fraction form
    590.69/812.84 = 550.60/x
  3. Step 3: Cross multiply
    590.69x = 812.84 × 550.60
  4. Step 4: Simplify right side
    590.69x = 447,544.92
  5. Step 5: Solve for x
    x = 447,544.92/590.69
  6. Step 6: Final answer
    x = 757.66

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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.