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Finding the Fourth Proportional to 493.93, 741.50 and 230.64

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Solution

The fourth proportional to 493.93, 741.50 and 230.64 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.93 : 741.50 = 230.64 : x
  2. Step 2: Convert to fraction form
    493.93/741.50 = 230.64/x
  3. Step 3: Cross multiply
    493.93x = 741.50 × 230.64
  4. Step 4: Simplify right side
    493.93x = 171,015.84
  5. Step 5: Solve for x
    x = 171,015.84/493.93
  6. Step 6: Final answer
    x = 346.23

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Why These Related Problems?

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