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Finding the Fourth Proportional to 568.37, 784.22 and 435.75

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Solution

The fourth proportional to 568.37, 784.22 and 435.75 is: 601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.37 : 784.22 = 435.75 : x
  2. Step 2: Convert to fraction form
    568.37/784.22 = 435.75/x
  3. Step 3: Cross multiply
    568.37x = 784.22 × 435.75
  4. Step 4: Simplify right side
    568.37x = 341,723.87
  5. Step 5: Solve for x
    x = 341,723.87/568.37
  6. Step 6: Final answer
    x = 601.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.