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Finding the Fourth Proportional to 532.88, 797.57 and 376.78

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Solution

The fourth proportional to 532.88, 797.57 and 376.78 is: 563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 797.57 = 376.78 : x
  2. Step 2: Convert to fraction form
    532.88/797.57 = 376.78/x
  3. Step 3: Cross multiply
    532.88x = 797.57 × 376.78
  4. Step 4: Simplify right side
    532.88x = 300,508.42
  5. Step 5: Solve for x
    x = 300,508.42/532.88
  6. Step 6: Final answer
    x = 563.94

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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.