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Finding the Fourth Proportional to 311.84, 465.52 and 281.08

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Solution

The fourth proportional to 311.84, 465.52 and 281.08 is: 419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.84 : 465.52 = 281.08 : x
  2. Step 2: Convert to fraction form
    311.84/465.52 = 281.08/x
  3. Step 3: Cross multiply
    311.84x = 465.52 × 281.08
  4. Step 4: Simplify right side
    311.84x = 130,848.36
  5. Step 5: Solve for x
    x = 130,848.36/311.84
  6. Step 6: Final answer
    x = 419.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.