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Finding the Fourth Proportional to 339.95, 469 and 229.47

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Solution

The fourth proportional to 339.95, 469 and 229.47 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.95 : 469 = 229.47 : x
  2. Step 2: Convert to fraction form
    339.95/469 = 229.47/x
  3. Step 3: Cross multiply
    339.95x = 469 × 229.47
  4. Step 4: Simplify right side
    339.95x = 107,621.43
  5. Step 5: Solve for x
    x = 107,621.43/339.95
  6. Step 6: Final answer
    x = 316.58

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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.