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Finding the Fourth Proportional to 482.68, 666.04 and 283.46

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Solution

The fourth proportional to 482.68, 666.04 and 283.46 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.68 : 666.04 = 283.46 : x
  2. Step 2: Convert to fraction form
    482.68/666.04 = 283.46/x
  3. Step 3: Cross multiply
    482.68x = 666.04 × 283.46
  4. Step 4: Simplify right side
    482.68x = 188,795.70
  5. Step 5: Solve for x
    x = 188,795.70/482.68
  6. Step 6: Final answer
    x = 391.14

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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.