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Finding the Fourth Proportional to 623.46, 860.19 and 410.82

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Solution

The fourth proportional to 623.46, 860.19 and 410.82 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.46 : 860.19 = 410.82 : x
  2. Step 2: Convert to fraction form
    623.46/860.19 = 410.82/x
  3. Step 3: Cross multiply
    623.46x = 860.19 × 410.82
  4. Step 4: Simplify right side
    623.46x = 353,383.26
  5. Step 5: Solve for x
    x = 353,383.26/623.46
  6. Step 6: Final answer
    x = 566.81

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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.