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Finding the Fourth Proportional to 661.34, 992.22 and 296.10

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Solution

The fourth proportional to 661.34, 992.22 and 296.10 is: 444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.34 : 992.22 = 296.10 : x
  2. Step 2: Convert to fraction form
    661.34/992.22 = 296.10/x
  3. Step 3: Cross multiply
    661.34x = 992.22 × 296.10
  4. Step 4: Simplify right side
    661.34x = 293,796.34
  5. Step 5: Solve for x
    x = 293,796.34/661.34
  6. Step 6: Final answer
    x = 444.24

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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.