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Finding the Fourth Proportional to 445.50, 614.85 and 290.58

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Solution

The fourth proportional to 445.50, 614.85 and 290.58 is: 401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.50 : 614.85 = 290.58 : x
  2. Step 2: Convert to fraction form
    445.50/614.85 = 290.58/x
  3. Step 3: Cross multiply
    445.50x = 614.85 × 290.58
  4. Step 4: Simplify right side
    445.50x = 178,663.11
  5. Step 5: Solve for x
    x = 178,663.11/445.50
  6. Step 6: Final answer
    x = 401.04

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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.