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Finding the Fourth Proportional to 554.50, 764.16 and 357.70

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Solution

The fourth proportional to 554.50, 764.16 and 357.70 is: 492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.50 : 764.16 = 357.70 : x
  2. Step 2: Convert to fraction form
    554.50/764.16 = 357.70/x
  3. Step 3: Cross multiply
    554.50x = 764.16 × 357.70
  4. Step 4: Simplify right side
    554.50x = 273,340.03
  5. Step 5: Solve for x
    x = 273,340.03/554.50
  6. Step 6: Final answer
    x = 492.95

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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.