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Finding the Fourth Proportional to 401.30, 599.30 and 345.88

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Solution

The fourth proportional to 401.30, 599.30 and 345.88 is: 516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.30 : 599.30 = 345.88 : x
  2. Step 2: Convert to fraction form
    401.30/599.30 = 345.88/x
  3. Step 3: Cross multiply
    401.30x = 599.30 × 345.88
  4. Step 4: Simplify right side
    401.30x = 207,285.88
  5. Step 5: Solve for x
    x = 207,285.88/401.30
  6. Step 6: Final answer
    x = 516.54

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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.