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Finding the Fourth Proportional to 392.02, 585.13 and 345.90

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Solution

The fourth proportional to 392.02, 585.13 and 345.90 is: 516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.02 : 585.13 = 345.90 : x
  2. Step 2: Convert to fraction form
    392.02/585.13 = 345.90/x
  3. Step 3: Cross multiply
    392.02x = 585.13 × 345.90
  4. Step 4: Simplify right side
    392.02x = 202,399.09
  5. Step 5: Solve for x
    x = 202,399.09/392.02
  6. Step 6: Final answer
    x = 516.30

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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.