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Finding the Fourth Proportional to 495.68, 684.07 and 285.92

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Solution

The fourth proportional to 495.68, 684.07 and 285.92 is: 394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.68 : 684.07 = 285.92 : x
  2. Step 2: Convert to fraction form
    495.68/684.07 = 285.92/x
  3. Step 3: Cross multiply
    495.68x = 684.07 × 285.92
  4. Step 4: Simplify right side
    495.68x = 195,590.29
  5. Step 5: Solve for x
    x = 195,590.29/495.68
  6. Step 6: Final answer
    x = 394.59

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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.