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Finding the Fourth Proportional to 561.22, 842.00 and 287.50

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Solution

The fourth proportional to 561.22, 842.00 and 287.50 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.22 : 842.00 = 287.50 : x
  2. Step 2: Convert to fraction form
    561.22/842.00 = 287.50/x
  3. Step 3: Cross multiply
    561.22x = 842.00 × 287.50
  4. Step 4: Simplify right side
    561.22x = 242,074.25
  5. Step 5: Solve for x
    x = 242,074.25/561.22
  6. Step 6: Final answer
    x = 431.34

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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.