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Finding the Fourth Proportional to 498.07, 687.30 and 277.01

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Solution

The fourth proportional to 498.07, 687.30 and 277.01 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 687.30 = 277.01 : x
  2. Step 2: Convert to fraction form
    498.07/687.30 = 277.01/x
  3. Step 3: Cross multiply
    498.07x = 687.30 × 277.01
  4. Step 4: Simplify right side
    498.07x = 190,385.54
  5. Step 5: Solve for x
    x = 190,385.54/498.07
  6. Step 6: Final answer
    x = 382.25

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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.