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Finding the Fourth Proportional to 400.35, 596.94 and 393.06

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Solution

The fourth proportional to 400.35, 596.94 and 393.06 is: 586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 596.94 = 393.06 : x
  2. Step 2: Convert to fraction form
    400.35/596.94 = 393.06/x
  3. Step 3: Cross multiply
    400.35x = 596.94 × 393.06
  4. Step 4: Simplify right side
    400.35x = 234,633.24
  5. Step 5: Solve for x
    x = 234,633.24/400.35
  6. Step 6: Final answer
    x = 586.07

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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.