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Finding the Fourth Proportional to 498.75, 688.28 and 343.77

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Solution

The fourth proportional to 498.75, 688.28 and 343.77 is: 474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.75 : 688.28 = 343.77 : x
  2. Step 2: Convert to fraction form
    498.75/688.28 = 343.77/x
  3. Step 3: Cross multiply
    498.75x = 688.28 × 343.77
  4. Step 4: Simplify right side
    498.75x = 236,608.30
  5. Step 5: Solve for x
    x = 236,608.30/498.75
  6. Step 6: Final answer
    x = 474.40

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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.