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Finding the Fourth Proportional to 565.28, 847.64 and 200.00

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Solution

The fourth proportional to 565.28, 847.64 and 200.00 is: 299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.28 : 847.64 = 200.00 : x
  2. Step 2: Convert to fraction form
    565.28/847.64 = 200.00/x
  3. Step 3: Cross multiply
    565.28x = 847.64 × 200.00
  4. Step 4: Simplify right side
    565.28x = 169,522.76
  5. Step 5: Solve for x
    x = 169,522.76/565.28
  6. Step 6: Final answer
    x = 299.89

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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.