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Finding the Fourth Proportional to 400.67, 598.21 and 376.07

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Solution

The fourth proportional to 400.67, 598.21 and 376.07 is: 561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.67 : 598.21 = 376.07 : x
  2. Step 2: Convert to fraction form
    400.67/598.21 = 376.07/x
  3. Step 3: Cross multiply
    400.67x = 598.21 × 376.07
  4. Step 4: Simplify right side
    400.67x = 224,964.90
  5. Step 5: Solve for x
    x = 224,964.90/400.67
  6. Step 6: Final answer
    x = 561.48

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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.