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Finding the Fourth Proportional to 563.04, 845.28 and 536.88

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Solution

The fourth proportional to 563.04, 845.28 and 536.88 is: 806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.04 : 845.28 = 536.88 : x
  2. Step 2: Convert to fraction form
    563.04/845.28 = 536.88/x
  3. Step 3: Cross multiply
    563.04x = 845.28 × 536.88
  4. Step 4: Simplify right side
    563.04x = 453,813.93
  5. Step 5: Solve for x
    x = 453,813.93/563.04
  6. Step 6: Final answer
    x = 806.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.