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Finding the Fourth Proportional to 436.96, 602.93 and 289.81

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Solution

The fourth proportional to 436.96, 602.93 and 289.81 is: 399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.96 : 602.93 = 289.81 : x
  2. Step 2: Convert to fraction form
    436.96/602.93 = 289.81/x
  3. Step 3: Cross multiply
    436.96x = 602.93 × 289.81
  4. Step 4: Simplify right side
    436.96x = 174,730.68
  5. Step 5: Solve for x
    x = 174,730.68/436.96
  6. Step 6: Final answer
    x = 399.88

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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.