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Finding the Fourth Proportional to 434.50, 652.08 and 229.03

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Solution

The fourth proportional to 434.50, 652.08 and 229.03 is: 343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.50 : 652.08 = 229.03 : x
  2. Step 2: Convert to fraction form
    434.50/652.08 = 229.03/x
  3. Step 3: Cross multiply
    434.50x = 652.08 × 229.03
  4. Step 4: Simplify right side
    434.50x = 149,345.88
  5. Step 5: Solve for x
    x = 149,345.88/434.50
  6. Step 6: Final answer
    x = 343.72

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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.