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Finding the Fourth Proportional to 675.88, 932.22 and 427.24

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Solution

The fourth proportional to 675.88, 932.22 and 427.24 is: 589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.88 : 932.22 = 427.24 : x
  2. Step 2: Convert to fraction form
    675.88/932.22 = 427.24/x
  3. Step 3: Cross multiply
    675.88x = 932.22 × 427.24
  4. Step 4: Simplify right side
    675.88x = 398,281.67
  5. Step 5: Solve for x
    x = 398,281.67/675.88
  6. Step 6: Final answer
    x = 589.28

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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.