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Finding the Fourth Proportional to 538.24, 807.26 and 230.13

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Solution

The fourth proportional to 538.24, 807.26 and 230.13 is: 345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 807.26 = 230.13 : x
  2. Step 2: Convert to fraction form
    538.24/807.26 = 230.13/x
  3. Step 3: Cross multiply
    538.24x = 807.26 × 230.13
  4. Step 4: Simplify right side
    538.24x = 185,774.74
  5. Step 5: Solve for x
    x = 185,774.74/538.24
  6. Step 6: Final answer
    x = 345.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.