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Finding the Fourth Proportional to 621.85, 858.27 and 412.04

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Solution

The fourth proportional to 621.85, 858.27 and 412.04 is: 568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.85 : 858.27 = 412.04 : x
  2. Step 2: Convert to fraction form
    621.85/858.27 = 412.04/x
  3. Step 3: Cross multiply
    621.85x = 858.27 × 412.04
  4. Step 4: Simplify right side
    621.85x = 353,641.57
  5. Step 5: Solve for x
    x = 353,641.57/621.85
  6. Step 6: Final answer
    x = 568.69

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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.