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Finding the Fourth Proportional to 438.54, 656.26 and 322.72

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Solution

The fourth proportional to 438.54, 656.26 and 322.72 is: 482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.54 : 656.26 = 322.72 : x
  2. Step 2: Convert to fraction form
    438.54/656.26 = 322.72/x
  3. Step 3: Cross multiply
    438.54x = 656.26 × 322.72
  4. Step 4: Simplify right side
    438.54x = 211,788.23
  5. Step 5: Solve for x
    x = 211,788.23/438.54
  6. Step 6: Final answer
    x = 482.94

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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.