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Finding the Fourth Proportional to 617.89, 852.69 and 352.35

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Solution

The fourth proportional to 617.89, 852.69 and 352.35 is: 486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.89 : 852.69 = 352.35 : x
  2. Step 2: Convert to fraction form
    617.89/852.69 = 352.35/x
  3. Step 3: Cross multiply
    617.89x = 852.69 × 352.35
  4. Step 4: Simplify right side
    617.89x = 300,445.32
  5. Step 5: Solve for x
    x = 300,445.32/617.89
  6. Step 6: Final answer
    x = 486.24

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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.