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Finding the Fourth Proportional to 554.12, 762.31 and 538.75

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Solution

The fourth proportional to 554.12, 762.31 and 538.75 is: 741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.12 : 762.31 = 538.75 : x
  2. Step 2: Convert to fraction form
    554.12/762.31 = 538.75/x
  3. Step 3: Cross multiply
    554.12x = 762.31 × 538.75
  4. Step 4: Simplify right side
    554.12x = 410,696.14
  5. Step 5: Solve for x
    x = 410,696.14/554.12
  6. Step 6: Final answer
    x = 741.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.