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Finding the Fourth Proportional to 312.39, 429.84 and 259.47

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Solution

The fourth proportional to 312.39, 429.84 and 259.47 is: 357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.39 : 429.84 = 259.47 : x
  2. Step 2: Convert to fraction form
    312.39/429.84 = 259.47/x
  3. Step 3: Cross multiply
    312.39x = 429.84 × 259.47
  4. Step 4: Simplify right side
    312.39x = 111,530.58
  5. Step 5: Solve for x
    x = 111,530.58/312.39
  6. Step 6: Final answer
    x = 357.02

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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.