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Finding the Fourth Proportional to 498.95, 688.55 and 289.17

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Solution

The fourth proportional to 498.95, 688.55 and 289.17 is: 399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.95 : 688.55 = 289.17 : x
  2. Step 2: Convert to fraction form
    498.95/688.55 = 289.17/x
  3. Step 3: Cross multiply
    498.95x = 688.55 × 289.17
  4. Step 4: Simplify right side
    498.95x = 199,105.58
  5. Step 5: Solve for x
    x = 199,105.58/498.95
  6. Step 6: Final answer
    x = 399.05

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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.