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Finding the Fourth Proportional to 456.45, 630.21 and 290.89

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Solution

The fourth proportional to 456.45, 630.21 and 290.89 is: 401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 630.21 = 290.89 : x
  2. Step 2: Convert to fraction form
    456.45/630.21 = 290.89/x
  3. Step 3: Cross multiply
    456.45x = 630.21 × 290.89
  4. Step 4: Simplify right side
    456.45x = 183,321.98
  5. Step 5: Solve for x
    x = 183,321.98/456.45
  6. Step 6: Final answer
    x = 401.62

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Why These Related Problems?

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