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Finding the Fourth Proportional to 554.67, 764.24 and 357.75

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Solution

The fourth proportional to 554.67, 764.24 and 357.75 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.67 : 764.24 = 357.75 : x
  2. Step 2: Convert to fraction form
    554.67/764.24 = 357.75/x
  3. Step 3: Cross multiply
    554.67x = 764.24 × 357.75
  4. Step 4: Simplify right side
    554.67x = 273,405.07
  5. Step 5: Solve for x
    x = 273,405.07/554.67
  6. Step 6: Final answer
    x = 492.91

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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.