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Finding the Fourth Proportional to 495.89, 684.36 and 296.63

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Solution

The fourth proportional to 495.89, 684.36 and 296.63 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.89 : 684.36 = 296.63 : x
  2. Step 2: Convert to fraction form
    495.89/684.36 = 296.63/x
  3. Step 3: Cross multiply
    495.89x = 684.36 × 296.63
  4. Step 4: Simplify right side
    495.89x = 203,003.42
  5. Step 5: Solve for x
    x = 203,003.42/495.89
  6. Step 6: Final answer
    x = 409.37

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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.