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Finding the Fourth Proportional to 438.49, 656.53 and 322.05

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Solution

The fourth proportional to 438.49, 656.53 and 322.05 is: 482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.49 : 656.53 = 322.05 : x
  2. Step 2: Convert to fraction form
    438.49/656.53 = 322.05/x
  3. Step 3: Cross multiply
    438.49x = 656.53 × 322.05
  4. Step 4: Simplify right side
    438.49x = 211,435.49
  5. Step 5: Solve for x
    x = 211,435.49/438.49
  6. Step 6: Final answer
    x = 482.19

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