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Finding the Fourth Proportional to 399.35, 598.11 and 194.07

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Solution

The fourth proportional to 399.35, 598.11 and 194.07 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.35 : 598.11 = 194.07 : x
  2. Step 2: Convert to fraction form
    399.35/598.11 = 194.07/x
  3. Step 3: Cross multiply
    399.35x = 598.11 × 194.07
  4. Step 4: Simplify right side
    399.35x = 116,075.21
  5. Step 5: Solve for x
    x = 116,075.21/399.35
  6. Step 6: Final answer
    x = 290.66

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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.