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Finding the Fourth Proportional to 656.98, 984.89 and 291.65

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Solution

The fourth proportional to 656.98, 984.89 and 291.65 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.98 : 984.89 = 291.65 : x
  2. Step 2: Convert to fraction form
    656.98/984.89 = 291.65/x
  3. Step 3: Cross multiply
    656.98x = 984.89 × 291.65
  4. Step 4: Simplify right side
    656.98x = 287,238.97
  5. Step 5: Solve for x
    x = 287,238.97/656.98
  6. Step 6: Final answer
    x = 437.21

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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.