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Finding the Fourth Proportional to 563.76, 846.05 and 440.03

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Solution

The fourth proportional to 563.76, 846.05 and 440.03 is: 660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 846.05 = 440.03 : x
  2. Step 2: Convert to fraction form
    563.76/846.05 = 440.03/x
  3. Step 3: Cross multiply
    563.76x = 846.05 × 440.03
  4. Step 4: Simplify right side
    563.76x = 372,287.30
  5. Step 5: Solve for x
    x = 372,287.30/563.76
  6. Step 6: Final answer
    x = 660.36

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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.