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Finding the Fourth Proportional to 532.07, 797.33 and 378.30

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Solution

The fourth proportional to 532.07, 797.33 and 378.30 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.07 : 797.33 = 378.30 : x
  2. Step 2: Convert to fraction form
    532.07/797.33 = 378.30/x
  3. Step 3: Cross multiply
    532.07x = 797.33 × 378.30
  4. Step 4: Simplify right side
    532.07x = 301,628.05
  5. Step 5: Solve for x
    x = 301,628.05/532.07
  6. Step 6: Final answer
    x = 566.90

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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.