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Finding the Fourth Proportional to 328.92, 495.35 and 277.89

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Solution

The fourth proportional to 328.92, 495.35 and 277.89 is: 418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 495.35 = 277.89 : x
  2. Step 2: Convert to fraction form
    328.92/495.35 = 277.89/x
  3. Step 3: Cross multiply
    328.92x = 495.35 × 277.89
  4. Step 4: Simplify right side
    328.92x = 137,651.42
  5. Step 5: Solve for x
    x = 137,651.42/328.92
  6. Step 6: Final answer
    x = 418.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.