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Finding the Fourth Proportional to 339.34, 509.01 and 287.50

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Solution

The fourth proportional to 339.34, 509.01 and 287.50 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.34 : 509.01 = 287.50 : x
  2. Step 2: Convert to fraction form
    339.34/509.01 = 287.50/x
  3. Step 3: Cross multiply
    339.34x = 509.01 × 287.50
  4. Step 4: Simplify right side
    339.34x = 146,340.38
  5. Step 5: Solve for x
    x = 146,340.38/339.34
  6. Step 6: Final answer
    x = 431.25

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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.