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Finding the Fourth Proportional to 498.51, 687.84 and 380.46

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Solution

The fourth proportional to 498.51, 687.84 and 380.46 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.51 : 687.84 = 380.46 : x
  2. Step 2: Convert to fraction form
    498.51/687.84 = 380.46/x
  3. Step 3: Cross multiply
    498.51x = 687.84 × 380.46
  4. Step 4: Simplify right side
    498.51x = 261,695.61
  5. Step 5: Solve for x
    x = 261,695.61/498.51
  6. Step 6: Final answer
    x = 524.96

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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.