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Finding the Fourth Proportional to 434.28, 650.02 and 310.80

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Solution

The fourth proportional to 434.28, 650.02 and 310.80 is: 465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.28 : 650.02 = 310.80 : x
  2. Step 2: Convert to fraction form
    434.28/650.02 = 310.80/x
  3. Step 3: Cross multiply
    434.28x = 650.02 × 310.80
  4. Step 4: Simplify right side
    434.28x = 202,026.22
  5. Step 5: Solve for x
    x = 202,026.22/434.28
  6. Step 6: Final answer
    x = 465.20

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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.