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Finding the Fourth Proportional to 393.93, 590.40 and 345.06

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Solution

The fourth proportional to 393.93, 590.40 and 345.06 is: 517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.93 : 590.40 = 345.06 : x
  2. Step 2: Convert to fraction form
    393.93/590.40 = 345.06/x
  3. Step 3: Cross multiply
    393.93x = 590.40 × 345.06
  4. Step 4: Simplify right side
    393.93x = 203,723.42
  5. Step 5: Solve for x
    x = 203,723.42/393.93
  6. Step 6: Final answer
    x = 517.16

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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.