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Finding the Fourth Proportional to 386.04, 579.51 and 309.95

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Solution

The fourth proportional to 386.04, 579.51 and 309.95 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.04 : 579.51 = 309.95 : x
  2. Step 2: Convert to fraction form
    386.04/579.51 = 309.95/x
  3. Step 3: Cross multiply
    386.04x = 579.51 × 309.95
  4. Step 4: Simplify right side
    386.04x = 179,616.23
  5. Step 5: Solve for x
    x = 179,616.23/386.04
  6. Step 6: Final answer
    x = 465.28

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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.