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Finding the Fourth Proportional to 405.24, 604.94 and 389.04

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Solution

The fourth proportional to 405.24, 604.94 and 389.04 is: 580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.24 : 604.94 = 389.04 : x
  2. Step 2: Convert to fraction form
    405.24/604.94 = 389.04/x
  3. Step 3: Cross multiply
    405.24x = 604.94 × 389.04
  4. Step 4: Simplify right side
    405.24x = 235,345.86
  5. Step 5: Solve for x
    x = 235,345.86/405.24
  6. Step 6: Final answer
    x = 580.76

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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.