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Finding the Fourth Proportional to 434.12, 652.10 and 331.06

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Solution

The fourth proportional to 434.12, 652.10 and 331.06 is: 497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 652.10 = 331.06 : x
  2. Step 2: Convert to fraction form
    434.12/652.10 = 331.06/x
  3. Step 3: Cross multiply
    434.12x = 652.10 × 331.06
  4. Step 4: Simplify right side
    434.12x = 215,884.23
  5. Step 5: Solve for x
    x = 215,884.23/434.12
  6. Step 6: Final answer
    x = 497.29

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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.