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Finding the Fourth Proportional to 623.50, 859.85 and 505.44

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Solution

The fourth proportional to 623.50, 859.85 and 505.44 is: 697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.50 : 859.85 = 505.44 : x
  2. Step 2: Convert to fraction form
    623.50/859.85 = 505.44/x
  3. Step 3: Cross multiply
    623.50x = 859.85 × 505.44
  4. Step 4: Simplify right side
    623.50x = 434,601.95
  5. Step 5: Solve for x
    x = 434,601.95/623.50
  6. Step 6: Final answer
    x = 697.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.