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Finding the Fourth Proportional to 675.57, 932.63 and 427.15

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Solution

The fourth proportional to 675.57, 932.63 and 427.15 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.57 : 932.63 = 427.15 : x
  2. Step 2: Convert to fraction form
    675.57/932.63 = 427.15/x
  3. Step 3: Cross multiply
    675.57x = 932.63 × 427.15
  4. Step 4: Simplify right side
    675.57x = 398,368.24
  5. Step 5: Solve for x
    x = 398,368.24/675.57
  6. Step 6: Final answer
    x = 589.68

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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.