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Finding the Fourth Proportional to 568.32, 850.50 and 414.01

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Solution

The fourth proportional to 568.32, 850.50 and 414.01 is: 619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 850.50 = 414.01 : x
  2. Step 2: Convert to fraction form
    568.32/850.50 = 414.01/x
  3. Step 3: Cross multiply
    568.32x = 850.50 × 414.01
  4. Step 4: Simplify right side
    568.32x = 352,116.57
  5. Step 5: Solve for x
    x = 352,116.57/568.32
  6. Step 6: Final answer
    x = 619.58

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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.