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Finding the Fourth Proportional to 339.63, 508.60 and 305.43

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Solution

The fourth proportional to 339.63, 508.60 and 305.43 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.63 : 508.60 = 305.43 : x
  2. Step 2: Convert to fraction form
    339.63/508.60 = 305.43/x
  3. Step 3: Cross multiply
    339.63x = 508.60 × 305.43
  4. Step 4: Simplify right side
    339.63x = 155,341.70
  5. Step 5: Solve for x
    x = 155,341.70/339.63
  6. Step 6: Final answer
    x = 457.39

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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.