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Finding the Fourth Proportional to 610.06, 841.89 and 344.45

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Solution

The fourth proportional to 610.06, 841.89 and 344.45 is: 475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.06 : 841.89 = 344.45 : x
  2. Step 2: Convert to fraction form
    610.06/841.89 = 344.45/x
  3. Step 3: Cross multiply
    610.06x = 841.89 × 344.45
  4. Step 4: Simplify right side
    610.06x = 289,989.25
  5. Step 5: Solve for x
    x = 289,989.25/610.06
  6. Step 6: Final answer
    x = 475.35

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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.