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Finding the Fourth Proportional to 610.84, 842.94 and 362.20

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Solution

The fourth proportional to 610.84, 842.94 and 362.20 is: 499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 842.94 = 362.20 : x
  2. Step 2: Convert to fraction form
    610.84/842.94 = 362.20/x
  3. Step 3: Cross multiply
    610.84x = 842.94 × 362.20
  4. Step 4: Simplify right side
    610.84x = 305,312.87
  5. Step 5: Solve for x
    x = 305,312.87/610.84
  6. Step 6: Final answer
    x = 499.82

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