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Finding the Fourth Proportional to 335.61, 461.97 and 296.13

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Solution

The fourth proportional to 335.61, 461.97 and 296.13 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.61 : 461.97 = 296.13 : x
  2. Step 2: Convert to fraction form
    335.61/461.97 = 296.13/x
  3. Step 3: Cross multiply
    335.61x = 461.97 × 296.13
  4. Step 4: Simplify right side
    335.61x = 136,803.18
  5. Step 5: Solve for x
    x = 136,803.18/335.61
  6. Step 6: Final answer
    x = 407.63

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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.