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Finding the Fourth Proportional to 661.61, 991.94 and 442.23

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Solution

The fourth proportional to 661.61, 991.94 and 442.23 is: 663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.61 : 991.94 = 442.23 : x
  2. Step 2: Convert to fraction form
    661.61/991.94 = 442.23/x
  3. Step 3: Cross multiply
    661.61x = 991.94 × 442.23
  4. Step 4: Simplify right side
    661.61x = 438,663.42
  5. Step 5: Solve for x
    x = 438,663.42/661.61
  6. Step 6: Final answer
    x = 663.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.