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Finding the Fourth Proportional to 339.41, 508.50 and 281.30

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Solution

The fourth proportional to 339.41, 508.50 and 281.30 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.41 : 508.50 = 281.30 : x
  2. Step 2: Convert to fraction form
    339.41/508.50 = 281.30/x
  3. Step 3: Cross multiply
    339.41x = 508.50 × 281.30
  4. Step 4: Simplify right side
    339.41x = 143,038.51
  5. Step 5: Solve for x
    x = 143,038.51/339.41
  6. Step 6: Final answer
    x = 421.44

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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.