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Finding the Fourth Proportional to 339.63, 469.35 and 284.24

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Solution

The fourth proportional to 339.63, 469.35 and 284.24 is: 392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.63 : 469.35 = 284.24 : x
  2. Step 2: Convert to fraction form
    339.63/469.35 = 284.24/x
  3. Step 3: Cross multiply
    339.63x = 469.35 × 284.24
  4. Step 4: Simplify right side
    339.63x = 133,405.70
  5. Step 5: Solve for x
    x = 133,405.70/339.63
  6. Step 6: Final answer
    x = 392.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.