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Finding the Fourth Proportional to 562, 773.76 and 536

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Solution

The fourth proportional to 562, 773.76 and 536 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 773.76 = 536 : x
  2. Step 2: Convert to fraction form
    562/773.76 = 536/x
  3. Step 3: Cross multiply
    562x = 773.76 × 536
  4. Step 4: Simplify right side
    562x = 414,735.36
  5. Step 5: Solve for x
    x = 414,735.36/562
  6. Step 6: Final answer
    x = 737.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.