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Finding the Fourth Proportional to 399, 597.23 and 334.08

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Solution

The fourth proportional to 399, 597.23 and 334.08 is: 500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399 : 597.23 = 334.08 : x
  2. Step 2: Convert to fraction form
    399/597.23 = 334.08/x
  3. Step 3: Cross multiply
    399x = 597.23 × 334.08
  4. Step 4: Simplify right side
    399x = 199,520.93
  5. Step 5: Solve for x
    x = 199,520.93/399
  6. Step 6: Final answer
    x = 500.05

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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.