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Finding the Fourth Proportional to 656.81, 985.44 and 291.56

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Solution

The fourth proportional to 656.81, 985.44 and 291.56 is: 437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.81 : 985.44 = 291.56 : x
  2. Step 2: Convert to fraction form
    656.81/985.44 = 291.56/x
  3. Step 3: Cross multiply
    656.81x = 985.44 × 291.56
  4. Step 4: Simplify right side
    656.81x = 287,314.89
  5. Step 5: Solve for x
    x = 287,314.89/656.81
  6. Step 6: Final answer
    x = 437.44

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Why These Related Problems?

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