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Finding the Fourth Proportional to 495.70, 684.07 and 285.84

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Solution

The fourth proportional to 495.70, 684.07 and 285.84 is: 394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.70 : 684.07 = 285.84 : x
  2. Step 2: Convert to fraction form
    495.70/684.07 = 285.84/x
  3. Step 3: Cross multiply
    495.70x = 684.07 × 285.84
  4. Step 4: Simplify right side
    495.70x = 195,532.86
  5. Step 5: Solve for x
    x = 195,532.86/495.70
  6. Step 6: Final answer
    x = 394.46

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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.