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Finding the Fourth Proportional to 495.86, 684.23 and 309.47

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Solution

The fourth proportional to 495.86, 684.23 and 309.47 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.86 : 684.23 = 309.47 : x
  2. Step 2: Convert to fraction form
    495.86/684.23 = 309.47/x
  3. Step 3: Cross multiply
    495.86x = 684.23 × 309.47
  4. Step 4: Simplify right side
    495.86x = 211,743.69
  5. Step 5: Solve for x
    x = 211,743.69/495.86
  6. Step 6: Final answer
    x = 427.03

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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.