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Finding the Fourth Proportional to 639.50, 882.15 and 418.40

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Solution

The fourth proportional to 639.50, 882.15 and 418.40 is: 577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.50 : 882.15 = 418.40 : x
  2. Step 2: Convert to fraction form
    639.50/882.15 = 418.40/x
  3. Step 3: Cross multiply
    639.50x = 882.15 × 418.40
  4. Step 4: Simplify right side
    639.50x = 369,091.56
  5. Step 5: Solve for x
    x = 369,091.56/639.50
  6. Step 6: Final answer
    x = 577.16

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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.