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Finding the Fourth Proportional to 639.76, 882.57 and 406.75

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Solution

The fourth proportional to 639.76, 882.57 and 406.75 is: 561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.76 : 882.57 = 406.75 : x
  2. Step 2: Convert to fraction form
    639.76/882.57 = 406.75/x
  3. Step 3: Cross multiply
    639.76x = 882.57 × 406.75
  4. Step 4: Simplify right side
    639.76x = 358,985.35
  5. Step 5: Solve for x
    x = 358,985.35/639.76
  6. Step 6: Final answer
    x = 561.13

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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.