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Finding the Fourth Proportional to 571.44, 788.95 and 466.78

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Solution

The fourth proportional to 571.44, 788.95 and 466.78 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.44 : 788.95 = 466.78 : x
  2. Step 2: Convert to fraction form
    571.44/788.95 = 466.78/x
  3. Step 3: Cross multiply
    571.44x = 788.95 × 466.78
  4. Step 4: Simplify right side
    571.44x = 368,260.39
  5. Step 5: Solve for x
    x = 368,260.39/571.44
  6. Step 6: Final answer
    x = 644.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.