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Finding the Fourth Proportional to 571.63, 788.85 and 309.64

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Solution

The fourth proportional to 571.63, 788.85 and 309.64 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.63 : 788.85 = 309.64 : x
  2. Step 2: Convert to fraction form
    571.63/788.85 = 309.64/x
  3. Step 3: Cross multiply
    571.63x = 788.85 × 309.64
  4. Step 4: Simplify right side
    571.63x = 244,261.10
  5. Step 5: Solve for x
    x = 244,261.10/571.63
  6. Step 6: Final answer
    x = 427.31

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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.