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Finding the Fourth Proportional to 656.11, 983.96 and 291.21

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Solution

The fourth proportional to 656.11, 983.96 and 291.21 is: 436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.11 : 983.96 = 291.21 : x
  2. Step 2: Convert to fraction form
    656.11/983.96 = 291.21/x
  3. Step 3: Cross multiply
    656.11x = 983.96 × 291.21
  4. Step 4: Simplify right side
    656.11x = 286,538.99
  5. Step 5: Solve for x
    x = 286,538.99/656.11
  6. Step 6: Final answer
    x = 436.72

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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.