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Finding the Fourth Proportional to 567.90, 852.03 and 351.63

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Solution

The fourth proportional to 567.90, 852.03 and 351.63 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 852.03 = 351.63 : x
  2. Step 2: Convert to fraction form
    567.90/852.03 = 351.63/x
  3. Step 3: Cross multiply
    567.90x = 852.03 × 351.63
  4. Step 4: Simplify right side
    567.90x = 299,599.31
  5. Step 5: Solve for x
    x = 299,599.31/567.90
  6. Step 6: Final answer
    x = 527.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.