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Finding the Fourth Proportional to 617.30, 852.18 and 421.84

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Solution

The fourth proportional to 617.30, 852.18 and 421.84 is: 582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.30 : 852.18 = 421.84 : x
  2. Step 2: Convert to fraction form
    617.30/852.18 = 421.84/x
  3. Step 3: Cross multiply
    617.30x = 852.18 × 421.84
  4. Step 4: Simplify right side
    617.30x = 359,483.61
  5. Step 5: Solve for x
    x = 359,483.61/617.30
  6. Step 6: Final answer
    x = 582.35

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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.