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Finding the Fourth Proportional to 316.53, 474.33 and 277.92

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Solution

The fourth proportional to 316.53, 474.33 and 277.92 is: 416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.53 : 474.33 = 277.92 : x
  2. Step 2: Convert to fraction form
    316.53/474.33 = 277.92/x
  3. Step 3: Cross multiply
    316.53x = 474.33 × 277.92
  4. Step 4: Simplify right side
    316.53x = 131,825.79
  5. Step 5: Solve for x
    x = 131,825.79/316.53
  6. Step 6: Final answer
    x = 416.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.