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Finding the Fourth Proportional to 339.84, 509.44 and 286.08

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Solution

The fourth proportional to 339.84, 509.44 and 286.08 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 509.44 = 286.08 : x
  2. Step 2: Convert to fraction form
    339.84/509.44 = 286.08/x
  3. Step 3: Cross multiply
    339.84x = 509.44 × 286.08
  4. Step 4: Simplify right side
    339.84x = 145,740.60
  5. Step 5: Solve for x
    x = 145,740.60/339.84
  6. Step 6: Final answer
    x = 428.85

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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.