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Finding the Fourth Proportional to 532.88, 800.36 and 412

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Solution

The fourth proportional to 532.88, 800.36 and 412 is: 618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 800.36 = 412 : x
  2. Step 2: Convert to fraction form
    532.88/800.36 = 412/x
  3. Step 3: Cross multiply
    532.88x = 800.36 × 412
  4. Step 4: Simplify right side
    532.88x = 329,748.32
  5. Step 5: Solve for x
    x = 329,748.32/532.88
  6. Step 6: Final answer
    x = 618.80

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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.