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Finding the Fourth Proportional to 476.92, 658.29 and 277.81

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Solution

The fourth proportional to 476.92, 658.29 and 277.81 is: 383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.92 : 658.29 = 277.81 : x
  2. Step 2: Convert to fraction form
    476.92/658.29 = 277.81/x
  3. Step 3: Cross multiply
    476.92x = 658.29 × 277.81
  4. Step 4: Simplify right side
    476.92x = 182,878.94
  5. Step 5: Solve for x
    x = 182,878.94/476.92
  6. Step 6: Final answer
    x = 383.46

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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.