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Finding the Fourth Proportional to 497.70, 687.49 and 374.29

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Solution

The fourth proportional to 497.70, 687.49 and 374.29 is: 517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 687.49 = 374.29 : x
  2. Step 2: Convert to fraction form
    497.70/687.49 = 374.29/x
  3. Step 3: Cross multiply
    497.70x = 687.49 × 374.29
  4. Step 4: Simplify right side
    497.70x = 257,320.63
  5. Step 5: Solve for x
    x = 257,320.63/497.70
  6. Step 6: Final answer
    x = 517.02

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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.