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Finding the Fourth Proportional to 473.49, 652.68 and 325.80

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Solution

The fourth proportional to 473.49, 652.68 and 325.80 is: 449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 652.68 = 325.80 : x
  2. Step 2: Convert to fraction form
    473.49/652.68 = 325.80/x
  3. Step 3: Cross multiply
    473.49x = 652.68 × 325.80
  4. Step 4: Simplify right side
    473.49x = 212,643.14
  5. Step 5: Solve for x
    x = 212,643.14/473.49
  6. Step 6: Final answer
    x = 449.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.