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Finding the Fourth Proportional to 641.57, 884.93 and 455.06

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Solution

The fourth proportional to 641.57, 884.93 and 455.06 is: 627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.57 : 884.93 = 455.06 : x
  2. Step 2: Convert to fraction form
    641.57/884.93 = 455.06/x
  3. Step 3: Cross multiply
    641.57x = 884.93 × 455.06
  4. Step 4: Simplify right side
    641.57x = 402,689.55
  5. Step 5: Solve for x
    x = 402,689.55/641.57
  6. Step 6: Final answer
    x = 627.67

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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.