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Finding the Fourth Proportional to 571.23, 787.68 and 492.75

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Solution

The fourth proportional to 571.23, 787.68 and 492.75 is: 679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.23 : 787.68 = 492.75 : x
  2. Step 2: Convert to fraction form
    571.23/787.68 = 492.75/x
  3. Step 3: Cross multiply
    571.23x = 787.68 × 492.75
  4. Step 4: Simplify right side
    571.23x = 388,129.32
  5. Step 5: Solve for x
    x = 388,129.32/571.23
  6. Step 6: Final answer
    x = 679.46

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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.