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Finding the Fourth Proportional to 399.21, 598.29 and 193.50

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Solution

The fourth proportional to 399.21, 598.29 and 193.50 is: 290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.21 : 598.29 = 193.50 : x
  2. Step 2: Convert to fraction form
    399.21/598.29 = 193.50/x
  3. Step 3: Cross multiply
    399.21x = 598.29 × 193.50
  4. Step 4: Simplify right side
    399.21x = 115,769.12
  5. Step 5: Solve for x
    x = 115,769.12/399.21
  6. Step 6: Final answer
    x = 290.00

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Why These Related Problems?

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