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Finding the Fourth Proportional to 524.13, 785.55 and 231.32

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Solution

The fourth proportional to 524.13, 785.55 and 231.32 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.13 : 785.55 = 231.32 : x
  2. Step 2: Convert to fraction form
    524.13/785.55 = 231.32/x
  3. Step 3: Cross multiply
    524.13x = 785.55 × 231.32
  4. Step 4: Simplify right side
    524.13x = 181,713.43
  5. Step 5: Solve for x
    x = 181,713.43/524.13
  6. Step 6: Final answer
    x = 346.70

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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.