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Finding the Fourth Proportional to 595.26, 892.65 and 378.57

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Solution

The fourth proportional to 595.26, 892.65 and 378.57 is: 567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 892.65 = 378.57 : x
  2. Step 2: Convert to fraction form
    595.26/892.65 = 378.57/x
  3. Step 3: Cross multiply
    595.26x = 892.65 × 378.57
  4. Step 4: Simplify right side
    595.26x = 337,930.51
  5. Step 5: Solve for x
    x = 337,930.51/595.26
  6. Step 6: Final answer
    x = 567.70

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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.