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Finding the Fourth Proportional to 571.84, 788.85 and 385.34

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Solution

The fourth proportional to 571.84, 788.85 and 385.34 is: 531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 788.85 = 385.34 : x
  2. Step 2: Convert to fraction form
    571.84/788.85 = 385.34/x
  3. Step 3: Cross multiply
    571.84x = 788.85 × 385.34
  4. Step 4: Simplify right side
    571.84x = 303,975.46
  5. Step 5: Solve for x
    x = 303,975.46/571.84
  6. Step 6: Final answer
    x = 531.57

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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.