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Finding the Fourth Proportional to 436.09, 601.91 and 280.57

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Solution

The fourth proportional to 436.09, 601.91 and 280.57 is: 387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.09 : 601.91 = 280.57 : x
  2. Step 2: Convert to fraction form
    436.09/601.91 = 280.57/x
  3. Step 3: Cross multiply
    436.09x = 601.91 × 280.57
  4. Step 4: Simplify right side
    436.09x = 168,877.89
  5. Step 5: Solve for x
    x = 168,877.89/436.09
  6. Step 6: Final answer
    x = 387.25

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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.