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Finding the Fourth Proportional to 434.35, 650.45 and 304.04

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Solution

The fourth proportional to 434.35, 650.45 and 304.04 is: 455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.35 : 650.45 = 304.04 : x
  2. Step 2: Convert to fraction form
    434.35/650.45 = 304.04/x
  3. Step 3: Cross multiply
    434.35x = 650.45 × 304.04
  4. Step 4: Simplify right side
    434.35x = 197,760.33
  5. Step 5: Solve for x
    x = 197,760.33/434.35
  6. Step 6: Final answer
    x = 455.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.