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Finding the Fourth Proportional to 657.15, 985.85 and 291.94

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Solution

The fourth proportional to 657.15, 985.85 and 291.94 is: 437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.15 : 985.85 = 291.94 : x
  2. Step 2: Convert to fraction form
    657.15/985.85 = 291.94/x
  3. Step 3: Cross multiply
    657.15x = 985.85 × 291.94
  4. Step 4: Simplify right side
    657.15x = 287,809.05
  5. Step 5: Solve for x
    x = 287,809.05/657.15
  6. Step 6: Final answer
    x = 437.97

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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.