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Finding the Fourth Proportional to 468.02, 646.17 and 380.90

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Solution

The fourth proportional to 468.02, 646.17 and 380.90 is: 525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 646.17 = 380.90 : x
  2. Step 2: Convert to fraction form
    468.02/646.17 = 380.90/x
  3. Step 3: Cross multiply
    468.02x = 646.17 × 380.90
  4. Step 4: Simplify right side
    468.02x = 246,126.15
  5. Step 5: Solve for x
    x = 246,126.15/468.02
  6. Step 6: Final answer
    x = 525.89

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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.