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Finding the Fourth Proportional to 456.33, 630.05 and 290.82

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Solution

The fourth proportional to 456.33, 630.05 and 290.82 is: 401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.33 : 630.05 = 290.82 : x
  2. Step 2: Convert to fraction form
    456.33/630.05 = 290.82/x
  3. Step 3: Cross multiply
    456.33x = 630.05 × 290.82
  4. Step 4: Simplify right side
    456.33x = 183,229.69
  5. Step 5: Solve for x
    x = 183,229.69/456.33
  6. Step 6: Final answer
    x = 401.53

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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.