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Finding the Fourth Proportional to 641.17, 884.54 and 404.96

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Solution

The fourth proportional to 641.17, 884.54 and 404.96 is: 558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.17 : 884.54 = 404.96 : x
  2. Step 2: Convert to fraction form
    641.17/884.54 = 404.96/x
  3. Step 3: Cross multiply
    641.17x = 884.54 × 404.96
  4. Step 4: Simplify right side
    641.17x = 358,203.32
  5. Step 5: Solve for x
    x = 358,203.32/641.17
  6. Step 6: Final answer
    x = 558.67

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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.