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Finding the Fourth Proportional to 537.82, 805.80 and 415.70

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Solution

The fourth proportional to 537.82, 805.80 and 415.70 is: 622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.82 : 805.80 = 415.70 : x
  2. Step 2: Convert to fraction form
    537.82/805.80 = 415.70/x
  3. Step 3: Cross multiply
    537.82x = 805.80 × 415.70
  4. Step 4: Simplify right side
    537.82x = 334,971.06
  5. Step 5: Solve for x
    x = 334,971.06/537.82
  6. Step 6: Final answer
    x = 622.83

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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.