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Finding the Fourth Proportional to 571.35, 788.33 and 361.16

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Solution

The fourth proportional to 571.35, 788.33 and 361.16 is: 498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.35 : 788.33 = 361.16 : x
  2. Step 2: Convert to fraction form
    571.35/788.33 = 361.16/x
  3. Step 3: Cross multiply
    571.35x = 788.33 × 361.16
  4. Step 4: Simplify right side
    571.35x = 284,713.18
  5. Step 5: Solve for x
    x = 284,713.18/571.35
  6. Step 6: Final answer
    x = 498.31

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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.