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Finding the Fourth Proportional to 498.95, 688.97 and 302.73

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Solution

The fourth proportional to 498.95, 688.97 and 302.73 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.95 : 688.97 = 302.73 : x
  2. Step 2: Convert to fraction form
    498.95/688.97 = 302.73/x
  3. Step 3: Cross multiply
    498.95x = 688.97 × 302.73
  4. Step 4: Simplify right side
    498.95x = 208,571.89
  5. Step 5: Solve for x
    x = 208,571.89/498.95
  6. Step 6: Final answer
    x = 418.02

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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.