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Finding the Fourth Proportional to 496.82, 741.61 and 460.22

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Solution

The fourth proportional to 496.82, 741.61 and 460.22 is: 686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.82 : 741.61 = 460.22 : x
  2. Step 2: Convert to fraction form
    496.82/741.61 = 460.22/x
  3. Step 3: Cross multiply
    496.82x = 741.61 × 460.22
  4. Step 4: Simplify right side
    496.82x = 341,303.75
  5. Step 5: Solve for x
    x = 341,303.75/496.82
  6. Step 6: Final answer
    x = 686.98

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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.