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Finding the Fourth Proportional to 567.92, 846.46 and 563.36

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Solution

The fourth proportional to 567.92, 846.46 and 563.36 is: 839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 846.46 = 563.36 : x
  2. Step 2: Convert to fraction form
    567.92/846.46 = 563.36/x
  3. Step 3: Cross multiply
    567.92x = 846.46 × 563.36
  4. Step 4: Simplify right side
    567.92x = 476,861.71
  5. Step 5: Solve for x
    x = 476,861.71/567.92
  6. Step 6: Final answer
    x = 839.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.