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Finding the Fourth Proportional to 568.64, 852.91 and 203.43

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Solution

The fourth proportional to 568.64, 852.91 and 203.43 is: 305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.64 : 852.91 = 203.43 : x
  2. Step 2: Convert to fraction form
    568.64/852.91 = 203.43/x
  3. Step 3: Cross multiply
    568.64x = 852.91 × 203.43
  4. Step 4: Simplify right side
    568.64x = 173,507.48
  5. Step 5: Solve for x
    x = 173,507.48/568.64
  6. Step 6: Final answer
    x = 305.13

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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.