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Finding the Fourth Proportional to 639.74, 882.69 and 442.91

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Solution

The fourth proportional to 639.74, 882.69 and 442.91 is: 611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.74 : 882.69 = 442.91 : x
  2. Step 2: Convert to fraction form
    639.74/882.69 = 442.91/x
  3. Step 3: Cross multiply
    639.74x = 882.69 × 442.91
  4. Step 4: Simplify right side
    639.74x = 390,952.23
  5. Step 5: Solve for x
    x = 390,952.23/639.74
  6. Step 6: Final answer
    x = 611.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.