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Finding the Fourth Proportional to 537.02, 804.66 and 399.36

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Solution

The fourth proportional to 537.02, 804.66 and 399.36 is: 598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.02 : 804.66 = 399.36 : x
  2. Step 2: Convert to fraction form
    537.02/804.66 = 399.36/x
  3. Step 3: Cross multiply
    537.02x = 804.66 × 399.36
  4. Step 4: Simplify right side
    537.02x = 321,349.02
  5. Step 5: Solve for x
    x = 321,349.02/537.02
  6. Step 6: Final answer
    x = 598.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.