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Finding the Fourth Proportional to 495.80, 742.56 and 341.96

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Solution

The fourth proportional to 495.80, 742.56 and 341.96 is: 512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.80 : 742.56 = 341.96 : x
  2. Step 2: Convert to fraction form
    495.80/742.56 = 341.96/x
  3. Step 3: Cross multiply
    495.80x = 742.56 × 341.96
  4. Step 4: Simplify right side
    495.80x = 253,925.82
  5. Step 5: Solve for x
    x = 253,925.82/495.80
  6. Step 6: Final answer
    x = 512.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.