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Finding the Fourth Proportional to 855.46, 1,282.40 and 416.46

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Solution

The fourth proportional to 855.46, 1,282.40 and 416.46 is: 624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.46 : 1,282.40 = 416.46 : x
  2. Step 2: Convert to fraction form
    855.46/1,282.40 = 416.46/x
  3. Step 3: Cross multiply
    855.46x = 1,282.40 × 416.46
  4. Step 4: Simplify right side
    855.46x = 534,068.30
  5. Step 5: Solve for x
    x = 534,068.30/855.46
  6. Step 6: Final answer
    x = 624.31

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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.