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Finding the Fourth Proportional to 661.37, 992.48 and 296.15

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Solution

The fourth proportional to 661.37, 992.48 and 296.15 is: 444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.37 : 992.48 = 296.15 : x
  2. Step 2: Convert to fraction form
    661.37/992.48 = 296.15/x
  3. Step 3: Cross multiply
    661.37x = 992.48 × 296.15
  4. Step 4: Simplify right side
    661.37x = 293,916.51
  5. Step 5: Solve for x
    x = 293,916.51/661.37
  6. Step 6: Final answer
    x = 444.41

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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.