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Finding the Fourth Proportional to 435.68, 601.17 and 261.08

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Solution

The fourth proportional to 435.68, 601.17 and 261.08 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.68 : 601.17 = 261.08 : x
  2. Step 2: Convert to fraction form
    435.68/601.17 = 261.08/x
  3. Step 3: Cross multiply
    435.68x = 601.17 × 261.08
  4. Step 4: Simplify right side
    435.68x = 156,953.46
  5. Step 5: Solve for x
    x = 156,953.46/435.68
  6. Step 6: Final answer
    x = 360.25

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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.