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Finding the Fourth Proportional to 554.34, 765.03 and 305.67

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Solution

The fourth proportional to 554.34, 765.03 and 305.67 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.34 : 765.03 = 305.67 : x
  2. Step 2: Convert to fraction form
    554.34/765.03 = 305.67/x
  3. Step 3: Cross multiply
    554.34x = 765.03 × 305.67
  4. Step 4: Simplify right side
    554.34x = 233,846.72
  5. Step 5: Solve for x
    x = 233,846.72/554.34
  6. Step 6: Final answer
    x = 421.85

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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.