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Finding the Fourth Proportional to 339.07, 509.19 and 288.31

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Solution

The fourth proportional to 339.07, 509.19 and 288.31 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.07 : 509.19 = 288.31 : x
  2. Step 2: Convert to fraction form
    339.07/509.19 = 288.31/x
  3. Step 3: Cross multiply
    339.07x = 509.19 × 288.31
  4. Step 4: Simplify right side
    339.07x = 146,804.57
  5. Step 5: Solve for x
    x = 146,804.57/339.07
  6. Step 6: Final answer
    x = 432.96

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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.