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Finding the Fourth Proportional to 523.44, 785.46 and 393.84

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Solution

The fourth proportional to 523.44, 785.46 and 393.84 is: 590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 785.46 = 393.84 : x
  2. Step 2: Convert to fraction form
    523.44/785.46 = 393.84/x
  3. Step 3: Cross multiply
    523.44x = 785.46 × 393.84
  4. Step 4: Simplify right side
    523.44x = 309,345.57
  5. Step 5: Solve for x
    x = 309,345.57/523.44
  6. Step 6: Final answer
    x = 590.99

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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.