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Finding the Fourth Proportional to 482.95, 666.48 and 286.57

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Solution

The fourth proportional to 482.95, 666.48 and 286.57 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.95 : 666.48 = 286.57 : x
  2. Step 2: Convert to fraction form
    482.95/666.48 = 286.57/x
  3. Step 3: Cross multiply
    482.95x = 666.48 × 286.57
  4. Step 4: Simplify right side
    482.95x = 190,993.17
  5. Step 5: Solve for x
    x = 190,993.17/482.95
  6. Step 6: Final answer
    x = 395.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.