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Finding the Fourth Proportional to 400.22, 597.46 and 382.49

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Solution

The fourth proportional to 400.22, 597.46 and 382.49 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.22 : 597.46 = 382.49 : x
  2. Step 2: Convert to fraction form
    400.22/597.46 = 382.49/x
  3. Step 3: Cross multiply
    400.22x = 597.46 × 382.49
  4. Step 4: Simplify right side
    400.22x = 228,518.53
  5. Step 5: Solve for x
    x = 228,518.53/400.22
  6. Step 6: Final answer
    x = 570.99

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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.