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Finding the Fourth Proportional to 437.82, 659.32 and 316.93

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Solution

The fourth proportional to 437.82, 659.32 and 316.93 is: 477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.82 : 659.32 = 316.93 : x
  2. Step 2: Convert to fraction form
    437.82/659.32 = 316.93/x
  3. Step 3: Cross multiply
    437.82x = 659.32 × 316.93
  4. Step 4: Simplify right side
    437.82x = 208,958.29
  5. Step 5: Solve for x
    x = 208,958.29/437.82
  6. Step 6: Final answer
    x = 477.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.