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Finding the Fourth Proportional to 400.19, 596.79 and 382.77

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Solution

The fourth proportional to 400.19, 596.79 and 382.77 is: 570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.19 : 596.79 = 382.77 : x
  2. Step 2: Convert to fraction form
    400.19/596.79 = 382.77/x
  3. Step 3: Cross multiply
    400.19x = 596.79 × 382.77
  4. Step 4: Simplify right side
    400.19x = 228,433.31
  5. Step 5: Solve for x
    x = 228,433.31/400.19
  6. Step 6: Final answer
    x = 570.82

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Why These Related Problems?

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