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Finding the Fourth Proportional to 406.17, 605.12 and 400.52

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Solution

The fourth proportional to 406.17, 605.12 and 400.52 is: 596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.17 : 605.12 = 400.52 : x
  2. Step 2: Convert to fraction form
    406.17/605.12 = 400.52/x
  3. Step 3: Cross multiply
    406.17x = 605.12 × 400.52
  4. Step 4: Simplify right side
    406.17x = 242,357.63
  5. Step 5: Solve for x
    x = 242,357.63/406.17
  6. Step 6: Final answer
    x = 596.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.