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Finding the Fourth Proportional to 339.76, 509.64 and 285.49

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Solution

The fourth proportional to 339.76, 509.64 and 285.49 is: 428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.76 : 509.64 = 285.49 : x
  2. Step 2: Convert to fraction form
    339.76/509.64 = 285.49/x
  3. Step 3: Cross multiply
    339.76x = 509.64 × 285.49
  4. Step 4: Simplify right side
    339.76x = 145,497.12
  5. Step 5: Solve for x
    x = 145,497.12/339.76
  6. Step 6: Final answer
    x = 428.24

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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.