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Finding the Fourth Proportional to 456.19, 630.05 and 325.89

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Solution

The fourth proportional to 456.19, 630.05 and 325.89 is: 450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 630.05 = 325.89 : x
  2. Step 2: Convert to fraction form
    456.19/630.05 = 325.89/x
  3. Step 3: Cross multiply
    456.19x = 630.05 × 325.89
  4. Step 4: Simplify right side
    456.19x = 205,325.37
  5. Step 5: Solve for x
    x = 205,325.37/456.19
  6. Step 6: Final answer
    x = 450.09

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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.