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Finding the Fourth Proportional to 498.59, 688.05 and 277.53

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Solution

The fourth proportional to 498.59, 688.05 and 277.53 is: 382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.59 : 688.05 = 277.53 : x
  2. Step 2: Convert to fraction form
    498.59/688.05 = 277.53/x
  3. Step 3: Cross multiply
    498.59x = 688.05 × 277.53
  4. Step 4: Simplify right side
    498.59x = 190,954.52
  5. Step 5: Solve for x
    x = 190,954.52/498.59
  6. Step 6: Final answer
    x = 382.99

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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.