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Finding the Fourth Proportional to 569.33, 852.85 and 415.58

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Solution

The fourth proportional to 569.33, 852.85 and 415.58 is: 622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.33 : 852.85 = 415.58 : x
  2. Step 2: Convert to fraction form
    569.33/852.85 = 415.58/x
  3. Step 3: Cross multiply
    569.33x = 852.85 × 415.58
  4. Step 4: Simplify right side
    569.33x = 354,425.33
  5. Step 5: Solve for x
    x = 354,425.33/569.33
  6. Step 6: Final answer
    x = 622.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.