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Finding the Fourth Proportional to 563.48, 844.32 and 542.96

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Solution

The fourth proportional to 563.48, 844.32 and 542.96 is: 813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.48 : 844.32 = 542.96 : x
  2. Step 2: Convert to fraction form
    563.48/844.32 = 542.96/x
  3. Step 3: Cross multiply
    563.48x = 844.32 × 542.96
  4. Step 4: Simplify right side
    563.48x = 458,431.99
  5. Step 5: Solve for x
    x = 458,431.99/563.48
  6. Step 6: Final answer
    x = 813.57

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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.