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Finding the Fourth Proportional to 855.19, 1,282.44 and 307.53

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Solution

The fourth proportional to 855.19, 1,282.44 and 307.53 is: 461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.19 : 1,282.44 = 307.53 : x
  2. Step 2: Convert to fraction form
    855.19/1,282.44 = 307.53/x
  3. Step 3: Cross multiply
    855.19x = 1,282.44 × 307.53
  4. Step 4: Simplify right side
    855.19x = 394,389.93
  5. Step 5: Solve for x
    x = 394,389.93/855.19
  6. Step 6: Final answer
    x = 461.17

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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.