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Finding the Fourth Proportional to 563.36, 846.86 and 554.85

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Solution

The fourth proportional to 563.36, 846.86 and 554.85 is: 834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.36 : 846.86 = 554.85 : x
  2. Step 2: Convert to fraction form
    563.36/846.86 = 554.85/x
  3. Step 3: Cross multiply
    563.36x = 846.86 × 554.85
  4. Step 4: Simplify right side
    563.36x = 469,877.50
  5. Step 5: Solve for x
    x = 469,877.50/563.36
  6. Step 6: Final answer
    x = 834.07

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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.