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Finding the Fourth Proportional to 494.16, 740.40 and 421.68

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Solution

The fourth proportional to 494.16, 740.40 and 421.68 is: 631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 740.40 = 421.68 : x
  2. Step 2: Convert to fraction form
    494.16/740.40 = 421.68/x
  3. Step 3: Cross multiply
    494.16x = 740.40 × 421.68
  4. Step 4: Simplify right side
    494.16x = 312,211.87
  5. Step 5: Solve for x
    x = 312,211.87/494.16
  6. Step 6: Final answer
    x = 631.80

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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.