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Finding the Fourth Proportional to 420.30, 627.84 and 322.74

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Solution

The fourth proportional to 420.30, 627.84 and 322.74 is: 482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.30 : 627.84 = 322.74 : x
  2. Step 2: Convert to fraction form
    420.30/627.84 = 322.74/x
  3. Step 3: Cross multiply
    420.30x = 627.84 × 322.74
  4. Step 4: Simplify right side
    420.30x = 202,629.08
  5. Step 5: Solve for x
    x = 202,629.08/420.30
  6. Step 6: Final answer
    x = 482.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.