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Finding the Fourth Proportional to 339.81, 469.07 and 292.36

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Solution

The fourth proportional to 339.81, 469.07 and 292.36 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.81 : 469.07 = 292.36 : x
  2. Step 2: Convert to fraction form
    339.81/469.07 = 292.36/x
  3. Step 3: Cross multiply
    339.81x = 469.07 × 292.36
  4. Step 4: Simplify right side
    339.81x = 137,137.31
  5. Step 5: Solve for x
    x = 137,137.31/339.81
  6. Step 6: Final answer
    x = 403.57

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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.