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Finding the Fourth Proportional to 610.76, 842.67 and 362.09

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Solution

The fourth proportional to 610.76, 842.67 and 362.09 is: 499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 842.67 = 362.09 : x
  2. Step 2: Convert to fraction form
    610.76/842.67 = 362.09/x
  3. Step 3: Cross multiply
    610.76x = 842.67 × 362.09
  4. Step 4: Simplify right side
    610.76x = 305,124.49
  5. Step 5: Solve for x
    x = 305,124.49/610.76
  6. Step 6: Final answer
    x = 499.58

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1.5x scale

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.