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Finding the Fourth Proportional to 554.46, 765.16 and 305.78

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Solution

The fourth proportional to 554.46, 765.16 and 305.78 is: 421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.46 : 765.16 = 305.78 : x
  2. Step 2: Convert to fraction form
    554.46/765.16 = 305.78/x
  3. Step 3: Cross multiply
    554.46x = 765.16 × 305.78
  4. Step 4: Simplify right side
    554.46x = 233,974.21
  5. Step 5: Solve for x
    x = 233,974.21/554.46
  6. Step 6: Final answer
    x = 421.98

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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.