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Finding the Fourth Proportional to 505.82, 754.21 and 498.14

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Solution

The fourth proportional to 505.82, 754.21 and 498.14 is: 742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.82 : 754.21 = 498.14 : x
  2. Step 2: Convert to fraction form
    505.82/754.21 = 498.14/x
  3. Step 3: Cross multiply
    505.82x = 754.21 × 498.14
  4. Step 4: Simplify right side
    505.82x = 375,702.17
  5. Step 5: Solve for x
    x = 375,702.17/505.82
  6. Step 6: Final answer
    x = 742.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.