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Finding the Fourth Proportional to 563.68, 845.04 and 307.12

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Solution

The fourth proportional to 563.68, 845.04 and 307.12 is: 460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 845.04 = 307.12 : x
  2. Step 2: Convert to fraction form
    563.68/845.04 = 307.12/x
  3. Step 3: Cross multiply
    563.68x = 845.04 × 307.12
  4. Step 4: Simplify right side
    563.68x = 259,528.68
  5. Step 5: Solve for x
    x = 259,528.68/563.68
  6. Step 6: Final answer
    x = 460.42

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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.