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Finding the Fourth Proportional to 504.51, 756.41 and 230.22

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Solution

The fourth proportional to 504.51, 756.41 and 230.22 is: 345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.51 : 756.41 = 230.22 : x
  2. Step 2: Convert to fraction form
    504.51/756.41 = 230.22/x
  3. Step 3: Cross multiply
    504.51x = 756.41 × 230.22
  4. Step 4: Simplify right side
    504.51x = 174,139.56
  5. Step 5: Solve for x
    x = 174,139.56/504.51
  6. Step 6: Final answer
    x = 345.17

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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.