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Finding the Fourth Proportional to 497.99, 687.29 and 277.00

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Solution

The fourth proportional to 497.99, 687.29 and 277.00 is: 382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.99 : 687.29 = 277.00 : x
  2. Step 2: Convert to fraction form
    497.99/687.29 = 277.00/x
  3. Step 3: Cross multiply
    497.99x = 687.29 × 277.00
  4. Step 4: Simplify right side
    497.99x = 190,376.23
  5. Step 5: Solve for x
    x = 190,376.23/497.99
  6. Step 6: Final answer
    x = 382.29

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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.