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Finding the Fourth Proportional to 610.95, 842.86 and 362.17

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Solution

The fourth proportional to 610.95, 842.86 and 362.17 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.95 : 842.86 = 362.17 : x
  2. Step 2: Convert to fraction form
    610.95/842.86 = 362.17/x
  3. Step 3: Cross multiply
    610.95x = 842.86 × 362.17
  4. Step 4: Simplify right side
    610.95x = 305,258.61
  5. Step 5: Solve for x
    x = 305,258.61/610.95
  6. Step 6: Final answer
    x = 499.65

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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.