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Finding the Fourth Proportional to 642.63, 886.90 and 380.66

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Solution

The fourth proportional to 642.63, 886.90 and 380.66 is: 525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.63 : 886.90 = 380.66 : x
  2. Step 2: Convert to fraction form
    642.63/886.90 = 380.66/x
  3. Step 3: Cross multiply
    642.63x = 886.90 × 380.66
  4. Step 4: Simplify right side
    642.63x = 337,607.35
  5. Step 5: Solve for x
    x = 337,607.35/642.63
  6. Step 6: Final answer
    x = 525.35

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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.