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Finding the Fourth Proportional to 498.56, 688 and 277.53

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Solution

The fourth proportional to 498.56, 688 and 277.53 is: 382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.56 : 688 = 277.53 : x
  2. Step 2: Convert to fraction form
    498.56/688 = 277.53/x
  3. Step 3: Cross multiply
    498.56x = 688 × 277.53
  4. Step 4: Simplify right side
    498.56x = 190,940.64
  5. Step 5: Solve for x
    x = 190,940.64/498.56
  6. Step 6: Final answer
    x = 382.98

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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.