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Finding the Fourth Proportional to 437.97, 657.21 and 404.14

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Solution

The fourth proportional to 437.97, 657.21 and 404.14 is: 606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.97 : 657.21 = 404.14 : x
  2. Step 2: Convert to fraction form
    437.97/657.21 = 404.14/x
  3. Step 3: Cross multiply
    437.97x = 657.21 × 404.14
  4. Step 4: Simplify right side
    437.97x = 265,602.54
  5. Step 5: Solve for x
    x = 265,602.54/437.97
  6. Step 6: Final answer
    x = 606.45

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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.