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Finding the Fourth Proportional to 437.67, 656.96 and 322.24

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Solution

The fourth proportional to 437.67, 656.96 and 322.24 is: 483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.67 : 656.96 = 322.24 : x
  2. Step 2: Convert to fraction form
    437.67/656.96 = 322.24/x
  3. Step 3: Cross multiply
    437.67x = 656.96 × 322.24
  4. Step 4: Simplify right side
    437.67x = 211,698.79
  5. Step 5: Solve for x
    x = 211,698.79/437.67
  6. Step 6: Final answer
    x = 483.69

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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.