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Finding the Fourth Proportional to 400.64, 596.95 and 382.94

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Solution

The fourth proportional to 400.64, 596.95 and 382.94 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.64 : 596.95 = 382.94 : x
  2. Step 2: Convert to fraction form
    400.64/596.95 = 382.94/x
  3. Step 3: Cross multiply
    400.64x = 596.95 × 382.94
  4. Step 4: Simplify right side
    400.64x = 228,596.57
  5. Step 5: Solve for x
    x = 228,596.57/400.64
  6. Step 6: Final answer
    x = 570.59

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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.