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Finding the Fourth Proportional to 496.68, 741.80 and 468.60

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Solution

The fourth proportional to 496.68, 741.80 and 468.60 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 741.80 = 468.60 : x
  2. Step 2: Convert to fraction form
    496.68/741.80 = 468.60/x
  3. Step 3: Cross multiply
    496.68x = 741.80 × 468.60
  4. Step 4: Simplify right side
    496.68x = 347,607.48
  5. Step 5: Solve for x
    x = 347,607.48/496.68
  6. Step 6: Final answer
    x = 699.86

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Why These Related Problems?

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