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Finding the Fourth Proportional to 405.55, 604.47 and 382.49

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Solution

The fourth proportional to 405.55, 604.47 and 382.49 is: 570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.55 : 604.47 = 382.49 : x
  2. Step 2: Convert to fraction form
    405.55/604.47 = 382.49/x
  3. Step 3: Cross multiply
    405.55x = 604.47 × 382.49
  4. Step 4: Simplify right side
    405.55x = 231,204.41
  5. Step 5: Solve for x
    x = 231,204.41/405.55
  6. Step 6: Final answer
    x = 570.10

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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.