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Finding the Fourth Proportional to 442.10, 610.29 and 343.70

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Solution

The fourth proportional to 442.10, 610.29 and 343.70 is: 474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 610.29 = 343.70 : x
  2. Step 2: Convert to fraction form
    442.10/610.29 = 343.70/x
  3. Step 3: Cross multiply
    442.10x = 610.29 × 343.70
  4. Step 4: Simplify right side
    442.10x = 209,756.67
  5. Step 5: Solve for x
    x = 209,756.67/442.10
  6. Step 6: Final answer
    x = 474.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.