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Finding the Fourth Proportional to 537.06, 806.26 and 415.40

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Solution

The fourth proportional to 537.06, 806.26 and 415.40 is: 623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.06 : 806.26 = 415.40 : x
  2. Step 2: Convert to fraction form
    537.06/806.26 = 415.40/x
  3. Step 3: Cross multiply
    537.06x = 806.26 × 415.40
  4. Step 4: Simplify right side
    537.06x = 334,920.40
  5. Step 5: Solve for x
    x = 334,920.40/537.06
  6. Step 6: Final answer
    x = 623.62

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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.