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Finding the Fourth Proportional to 399.67, 602.38 and 377.35

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Solution

The fourth proportional to 399.67, 602.38 and 377.35 is: 568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 602.38 = 377.35 : x
  2. Step 2: Convert to fraction form
    399.67/602.38 = 377.35/x
  3. Step 3: Cross multiply
    399.67x = 602.38 × 377.35
  4. Step 4: Simplify right side
    399.67x = 227,308.09
  5. Step 5: Solve for x
    x = 227,308.09/399.67
  6. Step 6: Final answer
    x = 568.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.