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Finding the Fourth Proportional to 538.16, 807.23 and 523.58

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Solution

The fourth proportional to 538.16, 807.23 and 523.58 is: 785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.16 : 807.23 = 523.58 : x
  2. Step 2: Convert to fraction form
    538.16/807.23 = 523.58/x
  3. Step 3: Cross multiply
    538.16x = 807.23 × 523.58
  4. Step 4: Simplify right side
    538.16x = 422,642.83
  5. Step 5: Solve for x
    x = 422,642.83/538.16
  6. Step 6: Final answer
    x = 785.36

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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.