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Finding the Fourth Proportional to 498.85, 688.42 and 289.07

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Solution

The fourth proportional to 498.85, 688.42 and 289.07 is: 398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.85 : 688.42 = 289.07 : x
  2. Step 2: Convert to fraction form
    498.85/688.42 = 289.07/x
  3. Step 3: Cross multiply
    498.85x = 688.42 × 289.07
  4. Step 4: Simplify right side
    498.85x = 199,000.82
  5. Step 5: Solve for x
    x = 199,000.82/498.85
  6. Step 6: Final answer
    x = 398.92

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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.