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Finding the Fourth Proportional to 554.50, 765.23 and 305.83

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Solution

The fourth proportional to 554.50, 765.23 and 305.83 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.50 : 765.23 = 305.83 : x
  2. Step 2: Convert to fraction form
    554.50/765.23 = 305.83/x
  3. Step 3: Cross multiply
    554.50x = 765.23 × 305.83
  4. Step 4: Simplify right side
    554.50x = 234,030.29
  5. Step 5: Solve for x
    x = 234,030.29/554.50
  6. Step 6: Final answer
    x = 422.06

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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.