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Finding the Fourth Proportional to 407.17, 556.94 and 400.83

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Solution

The fourth proportional to 407.17, 556.94 and 400.83 is: 548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.17 : 556.94 = 400.83 : x
  2. Step 2: Convert to fraction form
    407.17/556.94 = 400.83/x
  3. Step 3: Cross multiply
    407.17x = 556.94 × 400.83
  4. Step 4: Simplify right side
    407.17x = 223,238.26
  5. Step 5: Solve for x
    x = 223,238.26/407.17
  6. Step 6: Final answer
    x = 548.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.