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Finding the Fourth Proportional to 415.82, 623.93 and 210.35

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Solution

The fourth proportional to 415.82, 623.93 and 210.35 is: 315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.82 : 623.93 = 210.35 : x
  2. Step 2: Convert to fraction form
    415.82/623.93 = 210.35/x
  3. Step 3: Cross multiply
    415.82x = 623.93 × 210.35
  4. Step 4: Simplify right side
    415.82x = 131,239.50
  5. Step 5: Solve for x
    x = 131,239.50/415.82
  6. Step 6: Final answer
    x = 315.62

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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.