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Finding the Fourth Proportional to 563.80, 846.90 and 543.40

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Solution

The fourth proportional to 563.80, 846.90 and 543.40 is: 816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.80 : 846.90 = 543.40 : x
  2. Step 2: Convert to fraction form
    563.80/846.90 = 543.40/x
  3. Step 3: Cross multiply
    563.80x = 846.90 × 543.40
  4. Step 4: Simplify right side
    563.80x = 460,205.46
  5. Step 5: Solve for x
    x = 460,205.46/563.80
  6. Step 6: Final answer
    x = 816.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.