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Finding the Fourth Proportional to 339.94, 509.64 and 290.98

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Solution

The fourth proportional to 339.94, 509.64 and 290.98 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.94 : 509.64 = 290.98 : x
  2. Step 2: Convert to fraction form
    339.94/509.64 = 290.98/x
  3. Step 3: Cross multiply
    339.94x = 509.64 × 290.98
  4. Step 4: Simplify right side
    339.94x = 148,295.05
  5. Step 5: Solve for x
    x = 148,295.05/339.94
  6. Step 6: Final answer
    x = 436.24

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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.