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Finding the Fourth Proportional to 477.74, 659.32 and 291.33

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Solution

The fourth proportional to 477.74, 659.32 and 291.33 is: 402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.74 : 659.32 = 291.33 : x
  2. Step 2: Convert to fraction form
    477.74/659.32 = 291.33/x
  3. Step 3: Cross multiply
    477.74x = 659.32 × 291.33
  4. Step 4: Simplify right side
    477.74x = 192,078.97
  5. Step 5: Solve for x
    x = 192,078.97/477.74
  6. Step 6: Final answer
    x = 402.06

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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.