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Finding the Fourth Proportional to 532.90, 799.35 and 385.75

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Solution

The fourth proportional to 532.90, 799.35 and 385.75 is: 578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.90 : 799.35 = 385.75 : x
  2. Step 2: Convert to fraction form
    532.90/799.35 = 385.75/x
  3. Step 3: Cross multiply
    532.90x = 799.35 × 385.75
  4. Step 4: Simplify right side
    532.90x = 308,349.26
  5. Step 5: Solve for x
    x = 308,349.26/532.90
  6. Step 6: Final answer
    x = 578.63

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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.