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Finding the Fourth Proportional to 561.81, 842.07 and 280.24

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Solution

The fourth proportional to 561.81, 842.07 and 280.24 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.81 : 842.07 = 280.24 : x
  2. Step 2: Convert to fraction form
    561.81/842.07 = 280.24/x
  3. Step 3: Cross multiply
    561.81x = 842.07 × 280.24
  4. Step 4: Simplify right side
    561.81x = 235,980.64
  5. Step 5: Solve for x
    x = 235,980.64/561.81
  6. Step 6: Final answer
    x = 420.03

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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.