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Finding the Fourth Proportional to 399.60, 596.70 and 345.60

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Solution

The fourth proportional to 399.60, 596.70 and 345.60 is: 516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.60 : 596.70 = 345.60 : x
  2. Step 2: Convert to fraction form
    399.60/596.70 = 345.60/x
  3. Step 3: Cross multiply
    399.60x = 596.70 × 345.60
  4. Step 4: Simplify right side
    399.60x = 206,219.52
  5. Step 5: Solve for x
    x = 206,219.52/399.60
  6. Step 6: Final answer
    x = 516.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.