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Finding the Fourth Proportional to 386.47, 579.08 and 309.03

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Solution

The fourth proportional to 386.47, 579.08 and 309.03 is: 463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.47 : 579.08 = 309.03 : x
  2. Step 2: Convert to fraction form
    386.47/579.08 = 309.03/x
  3. Step 3: Cross multiply
    386.47x = 579.08 × 309.03
  4. Step 4: Simplify right side
    386.47x = 178,948.65
  5. Step 5: Solve for x
    x = 178,948.65/386.47
  6. Step 6: Final answer
    x = 463.03

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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.