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Finding the Fourth Proportional to 855.32, 1,283.16 and 307.68

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Solution

The fourth proportional to 855.32, 1,283.16 and 307.68 is: 461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.32 : 1,283.16 = 307.68 : x
  2. Step 2: Convert to fraction form
    855.32/1,283.16 = 307.68/x
  3. Step 3: Cross multiply
    855.32x = 1,283.16 × 307.68
  4. Step 4: Simplify right side
    855.32x = 394,802.67
  5. Step 5: Solve for x
    x = 394,802.67/855.32
  6. Step 6: Final answer
    x = 461.58

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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.