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Finding the Fourth Proportional to 434.89, 652.41 and 215.53

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Solution

The fourth proportional to 434.89, 652.41 and 215.53 is: 323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.89 : 652.41 = 215.53 : x
  2. Step 2: Convert to fraction form
    434.89/652.41 = 215.53/x
  3. Step 3: Cross multiply
    434.89x = 652.41 × 215.53
  4. Step 4: Simplify right side
    434.89x = 140,614.06
  5. Step 5: Solve for x
    x = 140,614.06/434.89
  6. Step 6: Final answer
    x = 323.33

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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.