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Finding the Fourth Proportional to 610.66, 842.70 and 362.10

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Solution

The fourth proportional to 610.66, 842.70 and 362.10 is: 499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.66 : 842.70 = 362.10 : x
  2. Step 2: Convert to fraction form
    610.66/842.70 = 362.10/x
  3. Step 3: Cross multiply
    610.66x = 842.70 × 362.10
  4. Step 4: Simplify right side
    610.66x = 305,140.62
  5. Step 5: Solve for x
    x = 305,140.62/610.66
  6. Step 6: Final answer
    x = 499.69

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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.