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Finding the Fourth Proportional to 436.17, 653.42 and 289.46

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Solution

The fourth proportional to 436.17, 653.42 and 289.46 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.17 : 653.42 = 289.46 : x
  2. Step 2: Convert to fraction form
    436.17/653.42 = 289.46/x
  3. Step 3: Cross multiply
    436.17x = 653.42 × 289.46
  4. Step 4: Simplify right side
    436.17x = 189,136.01
  5. Step 5: Solve for x
    x = 189,136.01/436.17
  6. Step 6: Final answer
    x = 433.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.