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Finding the Fourth Proportional to 617.27, 851.46 and 407.45

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Solution

The fourth proportional to 617.27, 851.46 and 407.45 is: 562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.27 : 851.46 = 407.45 : x
  2. Step 2: Convert to fraction form
    617.27/851.46 = 407.45/x
  3. Step 3: Cross multiply
    617.27x = 851.46 × 407.45
  4. Step 4: Simplify right side
    617.27x = 346,928.40
  5. Step 5: Solve for x
    x = 346,928.40/617.27
  6. Step 6: Final answer
    x = 562.04

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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.