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Finding the Fourth Proportional to 436.29, 601.92 and 289.08

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Solution

The fourth proportional to 436.29, 601.92 and 289.08 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.29 : 601.92 = 289.08 : x
  2. Step 2: Convert to fraction form
    436.29/601.92 = 289.08/x
  3. Step 3: Cross multiply
    436.29x = 601.92 × 289.08
  4. Step 4: Simplify right side
    436.29x = 174,000.02
  5. Step 5: Solve for x
    x = 174,000.02/436.29
  6. Step 6: Final answer
    x = 398.82

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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.