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Finding the Fourth Proportional to 610.53, 842.67 and 362

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Solution

The fourth proportional to 610.53, 842.67 and 362 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.53 : 842.67 = 362 : x
  2. Step 2: Convert to fraction form
    610.53/842.67 = 362/x
  3. Step 3: Cross multiply
    610.53x = 842.67 × 362
  4. Step 4: Simplify right side
    610.53x = 305,046.54
  5. Step 5: Solve for x
    x = 305,046.54/610.53
  6. Step 6: Final answer
    x = 499.64

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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.