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Finding the Fourth Proportional to 855.47, 1,283.33 and 300.10

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Solution

The fourth proportional to 855.47, 1,283.33 and 300.10 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.47 : 1,283.33 = 300.10 : x
  2. Step 2: Convert to fraction form
    855.47/1,283.33 = 300.10/x
  3. Step 3: Cross multiply
    855.47x = 1,283.33 × 300.10
  4. Step 4: Simplify right side
    855.47x = 385,127.33
  5. Step 5: Solve for x
    x = 385,127.33/855.47
  6. Step 6: Final answer
    x = 450.19

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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.