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Finding the Fourth Proportional to 434.85, 650.61 and 305.07

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Solution

The fourth proportional to 434.85, 650.61 and 305.07 is: 456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.85 : 650.61 = 305.07 : x
  2. Step 2: Convert to fraction form
    434.85/650.61 = 305.07/x
  3. Step 3: Cross multiply
    434.85x = 650.61 × 305.07
  4. Step 4: Simplify right side
    434.85x = 198,483.78
  5. Step 5: Solve for x
    x = 198,483.78/434.85
  6. Step 6: Final answer
    x = 456.44

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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.