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Finding the Fourth Proportional to 855.21, 1,282.03 and 416.21

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Solution

The fourth proportional to 855.21, 1,282.03 and 416.21 is: 623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.21 : 1,282.03 = 416.21 : x
  2. Step 2: Convert to fraction form
    855.21/1,282.03 = 416.21/x
  3. Step 3: Cross multiply
    855.21x = 1,282.03 × 416.21
  4. Step 4: Simplify right side
    855.21x = 533,595.87
  5. Step 5: Solve for x
    x = 533,595.87/855.21
  6. Step 6: Final answer
    x = 623.94

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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.