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Finding the Fourth Proportional to 642.63, 886.95 and 380.70

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Solution

The fourth proportional to 642.63, 886.95 and 380.70 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.63 : 886.95 = 380.70 : x
  2. Step 2: Convert to fraction form
    642.63/886.95 = 380.70/x
  3. Step 3: Cross multiply
    642.63x = 886.95 × 380.70
  4. Step 4: Simplify right side
    642.63x = 337,661.87
  5. Step 5: Solve for x
    x = 337,661.87/642.63
  6. Step 6: Final answer
    x = 525.44

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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.