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Finding the Fourth Proportional to 523.44, 785.30 and 431.06

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Solution

The fourth proportional to 523.44, 785.30 and 431.06 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 785.30 = 431.06 : x
  2. Step 2: Convert to fraction form
    523.44/785.30 = 431.06/x
  3. Step 3: Cross multiply
    523.44x = 785.30 × 431.06
  4. Step 4: Simplify right side
    523.44x = 338,505.34
  5. Step 5: Solve for x
    x = 338,505.34/523.44
  6. Step 6: Final answer
    x = 646.69

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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.