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Finding the Fourth Proportional to 482.65, 666.06 and 283.45

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Solution

The fourth proportional to 482.65, 666.06 and 283.45 is: 391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.65 : 666.06 = 283.45 : x
  2. Step 2: Convert to fraction form
    482.65/666.06 = 283.45/x
  3. Step 3: Cross multiply
    482.65x = 666.06 × 283.45
  4. Step 4: Simplify right side
    482.65x = 188,789.96
  5. Step 5: Solve for x
    x = 188,789.96/482.65
  6. Step 6: Final answer
    x = 391.16

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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.