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Finding the Fourth Proportional to 339.48, 467.70 and 284.58

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Solution

The fourth proportional to 339.48, 467.70 and 284.58 is: 392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.48 : 467.70 = 284.58 : x
  2. Step 2: Convert to fraction form
    339.48/467.70 = 284.58/x
  3. Step 3: Cross multiply
    339.48x = 467.70 × 284.58
  4. Step 4: Simplify right side
    339.48x = 133,098.07
  5. Step 5: Solve for x
    x = 133,098.07/339.48
  6. Step 6: Final answer
    x = 392.06

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Why These Related Problems?

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