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Finding the Fourth Proportional to 568.50, 857.22 and 461.58

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Solution

The fourth proportional to 568.50, 857.22 and 461.58 is: 696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 857.22 = 461.58 : x
  2. Step 2: Convert to fraction form
    568.50/857.22 = 461.58/x
  3. Step 3: Cross multiply
    568.50x = 857.22 × 461.58
  4. Step 4: Simplify right side
    568.50x = 395,675.61
  5. Step 5: Solve for x
    x = 395,675.61/568.50
  6. Step 6: Final answer
    x = 696.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.