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Finding the Fourth Proportional to 563.06, 845.64 and 460.56

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Solution

The fourth proportional to 563.06, 845.64 and 460.56 is: 691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 845.64 = 460.56 : x
  2. Step 2: Convert to fraction form
    563.06/845.64 = 460.56/x
  3. Step 3: Cross multiply
    563.06x = 845.64 × 460.56
  4. Step 4: Simplify right side
    563.06x = 389,467.96
  5. Step 5: Solve for x
    x = 389,467.96/563.06
  6. Step 6: Final answer
    x = 691.70

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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.