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Finding the Fourth Proportional to 498.79, 688.42 and 289.10

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Solution

The fourth proportional to 498.79, 688.42 and 289.10 is: 399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.79 : 688.42 = 289.10 : x
  2. Step 2: Convert to fraction form
    498.79/688.42 = 289.10/x
  3. Step 3: Cross multiply
    498.79x = 688.42 × 289.10
  4. Step 4: Simplify right side
    498.79x = 199,019.78
  5. Step 5: Solve for x
    x = 199,019.78/498.79
  6. Step 6: Final answer
    x = 399.01

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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.