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Finding the Fourth Proportional to 477.96, 659.43 and 291.57

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Solution

The fourth proportional to 477.96, 659.43 and 291.57 is: 402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 659.43 = 291.57 : x
  2. Step 2: Convert to fraction form
    477.96/659.43 = 291.57/x
  3. Step 3: Cross multiply
    477.96x = 659.43 × 291.57
  4. Step 4: Simplify right side
    477.96x = 192,270.01
  5. Step 5: Solve for x
    x = 192,270.01/477.96
  6. Step 6: Final answer
    x = 402.27

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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.