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Finding the Fourth Proportional to 675.87, 932.73 and 427.10

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Solution

The fourth proportional to 675.87, 932.73 and 427.10 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.87 : 932.73 = 427.10 : x
  2. Step 2: Convert to fraction form
    675.87/932.73 = 427.10/x
  3. Step 3: Cross multiply
    675.87x = 932.73 × 427.10
  4. Step 4: Simplify right side
    675.87x = 398,364.32
  5. Step 5: Solve for x
    x = 398,364.32/675.87
  6. Step 6: Final answer
    x = 589.41

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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.