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Finding the Fourth Proportional to 563.85, 846.27 and 304.07

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Solution

The fourth proportional to 563.85, 846.27 and 304.07 is: 456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.85 : 846.27 = 304.07 : x
  2. Step 2: Convert to fraction form
    563.85/846.27 = 304.07/x
  3. Step 3: Cross multiply
    563.85x = 846.27 × 304.07
  4. Step 4: Simplify right side
    563.85x = 257,321.09
  5. Step 5: Solve for x
    x = 257,321.09/563.85
  6. Step 6: Final answer
    x = 456.36

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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.