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Finding the Fourth Proportional to 563.50, 843.87 and 465.40

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Solution

The fourth proportional to 563.50, 843.87 and 465.40 is: 696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.50 : 843.87 = 465.40 : x
  2. Step 2: Convert to fraction form
    563.50/843.87 = 465.40/x
  3. Step 3: Cross multiply
    563.50x = 843.87 × 465.40
  4. Step 4: Simplify right side
    563.50x = 392,740.37
  5. Step 5: Solve for x
    x = 392,740.37/563.50
  6. Step 6: Final answer
    x = 696.96

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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.