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Finding the Fourth Proportional to 855.41, 1,283.42 and 300.20

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Solution

The fourth proportional to 855.41, 1,283.42 and 300.20 is: 450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.41 : 1,283.42 = 300.20 : x
  2. Step 2: Convert to fraction form
    855.41/1,283.42 = 300.20/x
  3. Step 3: Cross multiply
    855.41x = 1,283.42 × 300.20
  4. Step 4: Simplify right side
    855.41x = 385,274.77
  5. Step 5: Solve for x
    x = 385,274.77/855.41
  6. Step 6: Final answer
    x = 450.40

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1.5x scale

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.