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Finding the Fourth Proportional to 855.06, 1,282.70 and 307.40

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Solution

The fourth proportional to 855.06, 1,282.70 and 307.40 is: 461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.06 : 1,282.70 = 307.40 : x
  2. Step 2: Convert to fraction form
    855.06/1,282.70 = 307.40/x
  3. Step 3: Cross multiply
    855.06x = 1,282.70 × 307.40
  4. Step 4: Simplify right side
    855.06x = 394,301.98
  5. Step 5: Solve for x
    x = 394,301.98/855.06
  6. Step 6: Final answer
    x = 461.14

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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.