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Finding the Fourth Proportional to 663.18, 914.96 and 442.06

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Solution

The fourth proportional to 663.18, 914.96 and 442.06 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.18 : 914.96 = 442.06 : x
  2. Step 2: Convert to fraction form
    663.18/914.96 = 442.06/x
  3. Step 3: Cross multiply
    663.18x = 914.96 × 442.06
  4. Step 4: Simplify right side
    663.18x = 404,467.22
  5. Step 5: Solve for x
    x = 404,467.22/663.18
  6. Step 6: Final answer
    x = 609.89

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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.