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Finding the Fourth Proportional to 595.68, 892.20 and 378.72

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Solution

The fourth proportional to 595.68, 892.20 and 378.72 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 892.20 = 378.72 : x
  2. Step 2: Convert to fraction form
    595.68/892.20 = 378.72/x
  3. Step 3: Cross multiply
    595.68x = 892.20 × 378.72
  4. Step 4: Simplify right side
    595.68x = 337,893.98
  5. Step 5: Solve for x
    x = 337,893.98/595.68
  6. Step 6: Final answer
    x = 567.24

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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.