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Finding the Fourth Proportional to 494.42, 740.75 and 421.54

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Solution

The fourth proportional to 494.42, 740.75 and 421.54 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 740.75 = 421.54 : x
  2. Step 2: Convert to fraction form
    494.42/740.75 = 421.54/x
  3. Step 3: Cross multiply
    494.42x = 740.75 × 421.54
  4. Step 4: Simplify right side
    494.42x = 312,255.76
  5. Step 5: Solve for x
    x = 312,255.76/494.42
  6. Step 6: Final answer
    x = 631.56

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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.