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Finding the Fourth Proportional to 417.33, 624.52 and 343.31

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Solution

The fourth proportional to 417.33, 624.52 and 343.31 is: 513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.33 : 624.52 = 343.31 : x
  2. Step 2: Convert to fraction form
    417.33/624.52 = 343.31/x
  3. Step 3: Cross multiply
    417.33x = 624.52 × 343.31
  4. Step 4: Simplify right side
    417.33x = 214,403.96
  5. Step 5: Solve for x
    x = 214,403.96/417.33
  6. Step 6: Final answer
    x = 513.75

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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.