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Finding the Fourth Proportional to 523.60, 785.29 and 231.10

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Solution

The fourth proportional to 523.60, 785.29 and 231.10 is: 346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 785.29 = 231.10 : x
  2. Step 2: Convert to fraction form
    523.60/785.29 = 231.10/x
  3. Step 3: Cross multiply
    523.60x = 785.29 × 231.10
  4. Step 4: Simplify right side
    523.60x = 181,480.52
  5. Step 5: Solve for x
    x = 181,480.52/523.60
  6. Step 6: Final answer
    x = 346.60

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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.