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Finding the Fourth Proportional to 498.10, 687.38 and 277.05

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Solution

The fourth proportional to 498.10, 687.38 and 277.05 is: 382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.10 : 687.38 = 277.05 : x
  2. Step 2: Convert to fraction form
    498.10/687.38 = 277.05/x
  3. Step 3: Cross multiply
    498.10x = 687.38 × 277.05
  4. Step 4: Simplify right side
    498.10x = 190,435.19
  5. Step 5: Solve for x
    x = 190,435.19/498.10
  6. Step 6: Final answer
    x = 382.32

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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.