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Finding the Fourth Proportional to 438.62, 656.37 and 322.79

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Solution

The fourth proportional to 438.62, 656.37 and 322.79 is: 483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.62 : 656.37 = 322.79 : x
  2. Step 2: Convert to fraction form
    438.62/656.37 = 322.79/x
  3. Step 3: Cross multiply
    438.62x = 656.37 × 322.79
  4. Step 4: Simplify right side
    438.62x = 211,866.39
  5. Step 5: Solve for x
    x = 211,866.39/438.62
  6. Step 6: Final answer
    x = 483.03

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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.