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Finding the Fourth Proportional to 435.55, 601.29 and 296.41

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Solution

The fourth proportional to 435.55, 601.29 and 296.41 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.55 : 601.29 = 296.41 : x
  2. Step 2: Convert to fraction form
    435.55/601.29 = 296.41/x
  3. Step 3: Cross multiply
    435.55x = 601.29 × 296.41
  4. Step 4: Simplify right side
    435.55x = 178,228.37
  5. Step 5: Solve for x
    x = 178,228.37/435.55
  6. Step 6: Final answer
    x = 409.20

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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.