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Finding the Fourth Proportional to 661.30, 991.55 and 296.02

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Solution

The fourth proportional to 661.30, 991.55 and 296.02 is: 443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.30 : 991.55 = 296.02 : x
  2. Step 2: Convert to fraction form
    661.30/991.55 = 296.02/x
  3. Step 3: Cross multiply
    661.30x = 991.55 × 296.02
  4. Step 4: Simplify right side
    661.30x = 293,518.63
  5. Step 5: Solve for x
    x = 293,518.63/661.30
  6. Step 6: Final answer
    x = 443.85

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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.