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Finding the Fourth Proportional to 561.49, 842.35 and 283.99

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Solution

The fourth proportional to 561.49, 842.35 and 283.99 is: 426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.49 : 842.35 = 283.99 : x
  2. Step 2: Convert to fraction form
    561.49/842.35 = 283.99/x
  3. Step 3: Cross multiply
    561.49x = 842.35 × 283.99
  4. Step 4: Simplify right side
    561.49x = 239,218.98
  5. Step 5: Solve for x
    x = 239,218.98/561.49
  6. Step 6: Final answer
    x = 426.04

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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.