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Finding the Fourth Proportional to 639.84, 882.72 and 406.92

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Solution

The fourth proportional to 639.84, 882.72 and 406.92 is: 561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.84 : 882.72 = 406.92 : x
  2. Step 2: Convert to fraction form
    639.84/882.72 = 406.92/x
  3. Step 3: Cross multiply
    639.84x = 882.72 × 406.92
  4. Step 4: Simplify right side
    639.84x = 359,196.42
  5. Step 5: Solve for x
    x = 359,196.42/639.84
  6. Step 6: Final answer
    x = 561.38

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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.