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Finding the Fourth Proportional to 437.58, 657.57 and 421.38

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Solution

The fourth proportional to 437.58, 657.57 and 421.38 is: 633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.58 : 657.57 = 421.38 : x
  2. Step 2: Convert to fraction form
    437.58/657.57 = 421.38/x
  3. Step 3: Cross multiply
    437.58x = 657.57 × 421.38
  4. Step 4: Simplify right side
    437.58x = 277,086.85
  5. Step 5: Solve for x
    x = 277,086.85/437.58
  6. Step 6: Final answer
    x = 633.23

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