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Finding the Fourth Proportional to 568.32, 851.58 and 414

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Solution

The fourth proportional to 568.32, 851.58 and 414 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 851.58 = 414 : x
  2. Step 2: Convert to fraction form
    568.32/851.58 = 414/x
  3. Step 3: Cross multiply
    568.32x = 851.58 × 414
  4. Step 4: Simplify right side
    568.32x = 352,554.12
  5. Step 5: Solve for x
    x = 352,554.12/568.32
  6. Step 6: Final answer
    x = 620.34

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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.