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Finding the Fourth Proportional to 415.63, 623.84 and 210.35

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Solution

The fourth proportional to 415.63, 623.84 and 210.35 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.63 : 623.84 = 210.35 : x
  2. Step 2: Convert to fraction form
    415.63/623.84 = 210.35/x
  3. Step 3: Cross multiply
    415.63x = 623.84 × 210.35
  4. Step 4: Simplify right side
    415.63x = 131,220.57
  5. Step 5: Solve for x
    x = 131,220.57/415.63
  6. Step 6: Final answer
    x = 315.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.